Exploration of Neptune

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Photograph of Neptune in true colour by Voyager 2 in 1989. Neptune's south pole is slightly above the bottom of the image. Neptune Voyager2 color calibrated.png
Photograph of Neptune in true colour by Voyager 2 in 1989. Neptune's south pole is slightly above the bottom of the image.

Neptune has been directly explored by one space probe, Voyager 2 , in 1989. As of 2024, there are no confirmed future missions to visit the Neptunian system, although a tentative Chinese mission has been planned for launch. [1] NASA, ESA, and independent academic groups have proposed future scientific missions to visit Neptune. Some mission plans are still active, while others have been abandoned or put on hold.[ citation needed ]

Contents

Since the mid-1990s, Neptune has been studied from afar with telescopes, including the Hubble Space Telescope and the ground-based Keck telescope using adaptive optics. [2]

Voyager 2

Voyager 2 image of Triton Triton moon mosaic Voyager 2 (large).jpg
Voyager 2 image of Triton

After Voyager 2 visited Saturn successfully, it was decided to fund further missions to Uranus and Neptune. These missions were conducted by the Jet Propulsion Laboratory, and the Neptunian mission was dubbed "Voyager Neptune Interstellar Mission". Voyager 2 started taking navigation images of Neptune in May 1988. [3] Voyager 2's observation phase proper of Neptune began 5 June 1989, the spacecraft officially reached the Neptunian system on 25 August, and data collection ceased on 2 October. [4] Initially it was planned to use a trajectory that resulted in Voyager 2 passing around 1,300 km (810 mi) from Neptune and 8,200 km (5,100 mi) from Triton. [5] The need to avoid ring material detected by stellar occultations prompted this trajectory to be abandoned, and a trajectory that largely avoided the rings but resulted in more distant flybys of both targets was plotted. [5]

Voyager 2 spacecraft Voyager.jpg
Voyager 2 spacecraft

On 25 August, in Voyager 2's last planetary encounter, the spacecraft swooped only 4,950 km (3,080 mi) above Neptune's north pole, the closest approach it had made to any body since it left Earth in 1977. At that time, Neptune was the farthest known body in the Solar System. It would not be until 1999 that Pluto would move further from the Sun in its trajectory. Voyager 2 studied Neptune's atmosphere, Neptune's rings, its magnetosphere, and Neptune's moons. [6] The Neptunian system had been studied scientifically for many years with telescopes and indirect methods, but the close inspection by the Voyager 2 probe settled many issues[ example needed ] and revealed a plethora of information that could not have been obtained otherwise.[ example needed ] The data from Voyager 2 are still the best data available on this planet in most cases.[ citation needed ]

The exploration mission revealed that Neptune's atmosphere is very dynamic, even though it receives only three percent of the sunlight that Jupiter receives. Winds on Neptune were found to be the strongest in the Solar System, up to three times stronger than Jupiter's and nine times stronger than the strongest winds on Earth. Most winds blew westward, opposite the planet's rotation. Separate cloud decks were discovered, with cloud systems emerging and dissolving within hours and giant storms circling the entire planet within sixteen to eighteen hours in the upper layers. Voyager 2 discovered an anticyclone dubbed the Great Dark Spot, similar to Jupiter's Great Red Spot. However, images taken by the Hubble Space Telescope in 1994 revealed that the Great Dark Spot had disappeared. [7] Also seen in Neptune's upper atmosphere was an almond-shaped spot designated D2 and a bright, quickly moving cloud high above the cloud decks dubbed "Scooter". [4] [8]

Voyager 2 image of Proteus Proteus (Voyager 2).jpg
Voyager 2 image of Proteus

The fly-by of the Neptunian system provided the first accurate measurement of Neptune's mass, which was found to be 0.5 percent less than previously calculated. The new figure disproved the hypothesis that an undiscovered Planet X acted upon the orbits of Neptune and Uranus. [9] [10]

Neptune's magnetic field was found to be highly tilted and largely offset from the planet's centre. The probe discovered auroras much weaker than those on Earth or other planets. The radio instruments on board found that Neptune's day lasts 16 hours and 6.7 minutes. Neptune's rings had been observed from Earth many years prior to Voyager 2's visit, but the close inspection revealed that the ring systems were full circle and intact, and a total of four rings were counted. [4]

Voyager 2 discovered six new small moons orbiting Neptune's equatorial plane, dubbed Naiad, Thalassa, Despina, Galatea, Larissa and Proteus. Three of Neptune's moons—Proteus, Nereid, and Triton—were photographed in detail, of which only the last two had been known prior to the visit. Proteus proved to be an ellipsoid, as large as gravity allows an ellipsoid body to become without rounding into a sphere, and appeared almost as dark as soot in color. Triton was revealed as having a remarkably active past, with active geysers, polar caps, and a very thin atmosphere characterized by clouds of what is thought to be nitrogen ice particles. At just 38 K (−235.2 °C), it is the coldest known planetary body in the Solar System. The closest approach to Triton, the last solid world Voyager 2 would explore close by, was about 40,000 km (25,000 mi). [4]

A list of previous and upcoming missions to the outer Solar System can be found at the List of missions to the outer planets article.

Possible future missions

As of February 2024, there are no approved future missions to visit the Neptunian system. NASA, ESA and independent academic groups have proposed and developed concept missions to visit Neptune.

After the Voyager flyby, NASA's next step in scientific exploration of the Neptune system was considered to be a flagship orbiter mission. [11] Such a hypothetical mission was envisioned to be possible in the late 2020s or early 2030s. [11] Another concept mission proposed for the 2040s is called the Neptune-Triton Explorer (NTE). [12] NASA has researched several other project options for both flyby and orbiter missions (of similar design as the Cassini–Huygens mission to Saturn). These missions are often collectively called "RMA Neptune-Triton-KBO" missions, which also includes orbital missions that would not visit Kuiper belt objects (KBOs). Because of budgetary constraints, technological considerations, scientific priorities and other factors, none of these have been approved. [13]

Several mission concepts have been developed to visit the Neptune system, including:

Probe/MissionAgencyTypeDescriptionStatusNotes
IHP-2 CNSA flybyA pair of probes by CNSA designed to explore the heliosphere. The second would fly by Neptune in 2038 at a distance of 1,000 km and drop an atmospheric probe en route to the tail of the heliosphere.planned [14]
Freya ESA/NASA orbiterMain focus would be to map the gravitational fields in deep space, including the Outer Solar System (up to 50 AU)proposed [15] [16]
OSS ESA/NASA flybyproposed [17]
Triton Hopper NASA rocket-powered "hopper"An NIAC study of a mission to Neptune with the goal of landing, and flying from site to site, on Neptune's moon Triton.proposed [18]
Trident NASA flybyA finalist in the Discovery program, would perform a single flyby of Neptune in 2038 and closely study its largest moon Triton. [19] In June 2021, NASA declined to fund Trident, selecting instead DAVINCI and VERITAS as the 15th and 16th Discovery missions.proposed [20]
Neptune Odyssey NASA orbiter/atmospheric probeMission concept for a Neptune orbiter and atmospheric probe being studied as a possible large strategic science mission (LSSM) by NASA that would launch in 2033 and arrive at Neptune in 2049.proposed [21]
Triton Ocean Worlds Surveyor NASA orbiterA downscaled version of Neptune Odyssey without the atmospheric probe. Launching in 2031 and arriving in 2047, it would be baselined for the lower-cost New Frontiers program rather than the LSSM class.proposed [22]
Arcanumorbiter/landerA Neptune-orbiting mission comprising Somerville (named for Mary Somerville) and a Triton lander Bingham (named for Hiram Bingham III), with an unusual added purpose to Somerville, acting as a space telescope at apoposeideum. A secondary intent is to prove the technology behind the newest super heavy-lift launch vehicles, primarily the SpaceX Starship.proposed [23]
Argo NASA flybyA cancelled mission concept in the New Frontiers program, a flyby mission to visit Jupiter, Saturn, Neptune (with Triton) and the Kuiper belt with launch in 2019.cancelled
New Horizons 2 NASA flybyA cancelled mission concept for a flyby mission to the Neptune system and Kuiper belt based on the New Horizons space probe.cancelled
Nautilus NASA orbiterA Triton-focused Neptune orbiter baselined for the New Frontiers program, with launch in August 2042 and orbital insertion slated for April 2057.proposed [24] [25]
Tianwen-5 CNSA orbiterA long-term concept being developed, which could potentially arrive in 2058.proposed [26]

The lowest-energy trajectory for a launch from Earth to Neptune uses a Jupiter gravity assist, opening an optimal launch window with a 12-year interval, when Jupiter is in a favourable position relative to the Earth and Neptune. An optimal launch window was open for such a Neptune mission from 2014 to 2019, with the next opportunity occurring from 2031. [27] These constraints are based on the requirement of a gravity assist from Jupiter. With the new Space Launch System (SLS) technology in development at Boeing, deep space missions with heavier payloads could potentially be propelled at much greater speeds (200 AU in 15 years) and missions to the outer planets could be launched independently of gravity assistance. [28] [29]

Scientific studies from afar

Space telescopes such as the Hubble Space Telescope have signified a new era of detailed observations of faint objects from afar, across the entire electromagnetic spectrum. This includes faint objects in the Solar system, such as Neptune. Since 1997, adaptive optics technology has also allowed for detailed scientific observations of Neptune and its atmosphere from ground-based telescopes. These image recordings now exceed the capability of HST by far and in some instances even the Voyager images, such as those of Uranus. [30] Ground-based observations are however always limited in their registration of electromagnetic waves of certain wavelengths, due to the inevitable atmospheric absorption, in particular of high energy waves. [31] [32]

See also

Notes

  1. Based on Irwin, Patrick G J; Dobinson, Jack; James, Arjuna; Teanby, Nicholas A; Simon, Amy A; Fletcher, Leigh N; Roman, Michael T; Orton, Glenn S; Wong, Michael H; Toledo, Daniel; Pérez-Hoyos, Santiago; Beck, Julie (2023-12-23). "Modelling the seasonal cycle of Uranus's colour and magnitude, and comparison with Neptune". Monthly Notices of the Royal Astronomical Society. 527 (4): 11521–11538. doi: 10.1093/mnras/stad3761 . hdl: 20.500.11850/657542 . ISSN   0035-8711.

Related Research Articles

<span class="mw-page-title-main">Naiad (moon)</span> Moon of Neptune

Naiad, named after the naiads of Greek legend, is the innermost satellite of Neptune and the nearest to the center of any gas giant with moons with a distance of 48,224 km from the planet's center. Its orbital period is less than a Neptunian day, resulting in tidal dissipation that will cause its orbit to decay. Eventually it will either crash into Neptune's atmosphere or break up to become a new ring.

<span class="mw-page-title-main">Space exploration</span> Exploration of space, planets, and moons

Space exploration is the use of astronomy and space technology to explore outer space. While the exploration of space is currently carried out mainly by astronomers with telescopes, its physical exploration is conducted both by uncrewed robotic space probes and human spaceflight. Space exploration, like its classical form astronomy, is one of the main sources for space science.

<i>Voyager 2</i> NASA space probe launched in 1977

Voyager 2 is a space probe launched by NASA on August 20, 1977, as a part of the Voyager program. It was launched on a trajectory towards the gas giants Jupiter and Saturn and enabled further encounters with the ice giants Uranus and Neptune. It remains the only spacecraft to have visited either of the ice giant planets, and was the third of five spacecraft to achieve Solar escape velocity, which allowed it to leave the Solar System. Launched 16 days before its twin Voyager 1, the primary mission of the spacecraft was to study the outer planets and its extended mission is to study interstellar space beyond the Sun's heliosphere.

<span class="mw-page-title-main">Triton (moon)</span> Largest moon of Neptune

Triton is the largest natural satellite of the planet Neptune. It is the only moon of Neptune massive enough to be rounded under its own gravity and hosts a thin, hazy atmosphere. Triton orbits Neptune in a retrograde orbit—revolving in the opposite direction to the parent planet's rotation—the only large moon in the Solar System to do so. Triton is thought to have once been a dwarf planet from the Kuiper belt, captured into Neptune's orbit by the latter's gravity.

<span class="mw-page-title-main">Gravity assist</span> Space navigation technique

A gravity assist, gravity assist maneuver, swing-by, or generally a gravitational slingshot in orbital mechanics, is a type of spaceflight flyby which makes use of the relative movement and gravity of a planet or other astronomical object to alter the path and speed of a spacecraft, typically to save propellant and reduce expense.

<span class="mw-page-title-main">Moons of Neptune</span> Natural satellites of the planet Neptune

The planet Neptune has 16 known moons, which are named for minor water deities and a water creature in Greek mythology. By far the largest of them is Triton, discovered by William Lassell on 10 October 1846, 17 days after the discovery of Neptune itself. Over a century passed before the discovery of the second natural satellite, Nereid, in 1949, and another 40 years passed before Proteus, Neptune's second-largest moon, was discovered in 1989.

<span class="mw-page-title-main">Rings of Neptune</span>

The rings of Neptune consist primarily of five principal rings. They were first discovered by simultaneous observations of a stellar occultation on 22 July 1984 by André Brahic's and William B. Hubbard's teams at La Silla Observatory (ESO) and at Cerro Tololo Interamerican Observatory in Chile. They were eventually imaged in 1989 by the Voyager 2 spacecraft. At their densest, they are comparable to the less dense portions of Saturn's main rings such as the C ring and the Cassini Division, but much of Neptune's ring system is quite faint and dusty, in some aspects more closely resembling the rings of Jupiter. Neptune's rings are named after astronomers who contributed important work on the planet: Galle, Le Verrier, Lassell, Arago, and Adams. Neptune also has a faint unnamed ring coincident with the orbit of the moon Galatea. Three other moons orbit between the rings: Naiad, Thalassa and Despina.

<span class="mw-page-title-main">Grand Tour program</span> NASAs space program intended to explore the outer solar system

The Grand Tour is a NASA program that would have sent two groups of robotic probes to all the planets of the outer Solar System. It called for four spacecraft, two of which would visit Jupiter, Saturn, and Pluto, while the other two would visit Jupiter, Uranus, and Neptune. The enormous cost of the project, around $1 billion, led to its cancellation and replacement with Mariner Jupiter-Saturn, which became the Voyager program.

In astronomy, an inner moon or inner natural satellite is a natural satellite following a prograde, low-inclination orbit inwards of the large satellites of the parent planet. They are generally thought to have been formed in situ at the same time as the coalescence of the original planet. Neptune's moons are an exception, as they are likely reaggregates of the pieces of the original bodies, which were disrupted after the capture of the large moon Triton. Inner satellites are distinguished from other regular satellites by their proximity to the parent planet, their short orbital periods, their low mass, small size, and irregular shapes.

<span class="mw-page-title-main">Exploration of Uranus</span> Exploration in space

The exploration of Uranus has, to date, been through telescopes and a lone probe by NASA's Voyager 2 spacecraft, which made its closest approach to Uranus on January 24, 1986. Voyager 2 discovered 10 moons, studied the planet's cold atmosphere, and examined its ring system, discovering two new rings. It also imaged Uranus' five large moons, revealing that their surfaces are covered with impact craters and canyons.

<span class="mw-page-title-main">Exploration of Saturn</span> Overview of the exploration of Saturn

The exploration of Saturn has been solely performed by crewless probes. Three missions were flybys, which formed an extended foundation of knowledge about the system. The Cassini–Huygens spacecraft, launched in 1997, was in orbit from 2004 to 2017.

<span class="mw-page-title-main">Neptune</span> Eighth planet from the Sun

Neptune is the eighth and farthest known planet from the Sun. It is the fourth-largest planet in the Solar System by diameter, the third-most-massive planet, and the densest giant planet. It is 17 times the mass of Earth. Compared to its fellow ice giant Uranus, Neptune is slightly more massive, but denser and smaller. Being composed primarily of gases and liquids, it has no well-defined solid surface, and orbits the Sun once every 164.8 years at an orbital distance of 30.1 astronomical units. It is named after the Roman god of the sea and has the astronomical symbol , representing Neptune's trident.

<span class="mw-page-title-main">Discovery and exploration of the Solar System</span>

Discovery and exploration of the Solar System is observation, visitation, and increase in knowledge and understanding of Earth's "cosmic neighborhood". This includes the Sun, Earth and the Moon, the major planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, and Neptune, their satellites, as well as smaller bodies including comets, asteroids, and dust.

<span class="mw-page-title-main">Outline of the Solar System</span> Overview of and topical guide to the Solar System

The following outline is provided as an overview of and topical guide to the Solar System:

<i>Argo</i> (NASA spacecraft) 2009 NASA spacecraft mission concept

Argo was a 2009 spacecraft mission concept by NASA to the outer planets and beyond. The concept included flybys of Jupiter, Saturn, Neptune, and a Kuiper belt object. A focus on Neptune and its largest moon Triton would have helped answer some of the questions generated by Voyager 2's flyby in 1989, and would have provided clues to ice giant formation and evolution.

<i>Trident</i> (spacecraft) NASA space probe proposal to study the ice giant planet Neptune and its moon Triton

Trident is a space mission concept to the outer planets proposed in 2019 to NASA's Discovery Program. The concept includes flybys of Jupiter and Neptune with a focus on Neptune's largest moon Triton.

<span class="mw-page-title-main">Neptune Odyssey</span> NASA orbiter mission concept to study the Neptune system

Neptune Odyssey is an orbiter mission concept to study Neptune and its moons, particularly Triton. The orbiter would enter into a retrograde orbit of Neptune to facilitate simultaneous study of Triton and would launch an atmospheric probe to characterize Neptune's atmosphere. The concept is being developed as a potential large strategic science mission for NASA by a team led by the Applied Physics Laboratory at Johns Hopkins University. The current proposal targets a launch in 2033 using the Space Launch System with arrival at Neptune in 2049, although trajectories using gravity assists at Jupiter have also been considered with launch dates in 2031.

Shensuo, formerly Interstellar Express, is a proposed Chinese National Space Administration program designed to explore the heliosphere and interstellar space. The program will feature two or three space probes that were initially planned to be launched in 2024 and follow differing trajectories to encounter Jupiter to assist them out of the Solar System. The first probe, IHP-1, will travel toward the nose of the heliosphere, while the second probe, IHP-2, will fly near to the tail, skimming by Neptune and Triton in January 2038. There may be another probe—tentatively IHP-3—which would launch in 2030 to explore to the northern half of the heliosphere. IHP-1 and IHP-2 would be the sixth and seventh spacecraft to leave the Solar System, as well as first non-NASA probes to achieve this status.

References

  1. "China to launch a pair of spacecraft towards the edge of the solar system". 16 April 2021.
  2. de Pater, I; Gibbard, S.; Martin, S.; Marchis, F.; Roe, Henry G.; Macintosh, B (2003). "Keck Adaptive Optics Observations of Neptune's Ring and Satellite Keck Adaptive Optics Observations of Neptune's Ring and Satellite System". AAS/Division for Planetary Sciences Meeting Abstracts. 35 (Year 2002). Bibcode:2003DPS....35.2002D.
  3. Ulivi, Paolo; Harland, David M (2007). Robotic Exploration of the Solar System Part I: The Golden Age 1957–1982. Springer. p. 426. ISBN   9780387493268.
  4. 1 2 3 4 "Fact Sheet". JPL . Retrieved 3 March 2016.
  5. 1 2 Ulivi, Paolo; Harland, David M (2007). Robotic Exploration of the Solar System Part I: The Golden Age 1957–1982. Springer. pp. 424–425. ISBN   9780387493268.
  6. See the "Neptune" page from JPL.
  7. "Hubble Discovers New Dark Spot on Neptune". Hubblesite.org. NASA. 19 April 1995. Retrieved 4 March 2016.
  8. See "Neptune:In Depth" from NASA.
  9. Tom Standage (2000). The Neptune File: A Story of Astronomical Rivalry and the Pioneers of Planet Hunting. New York: Walker. p. 188. ISBN   978-0-8027-1363-6.
  10. Chris Gebhardt; Jeff Goldader (August 20, 2011). "Thirty-four years after launch, Voyager 2 continues to explore". NASASpaceflight.
  11. 1 2 Clark, Stephen (25 August 2015). "Uranus, Neptune in NASA's sights for new robotic mission". Spaceflight Now. Retrieved 7 September 2015.
  12. "Solar System Exploration" (PDF). Science Mission Directorate (NASA). September 2006. Retrieved 5 August 2015.
  13. "Planetary Science Decadal Survey, JPL Rapid Mission Architecture, Neptune-Triton-KBO Study Final Report" (PDF). NASA. February 2010. Retrieved 5 August 2015.
  14. "China Considers Voyager-like Mission to Interstellar Space".
  15. "Origins, Dynamics and Interiors of Neptunian and Uranian Systems" . Retrieved 5 August 2015.
  16. "Astronomers Make the Case for a Mission to Neptune and Uranus". The Physics arXiv Blog. arXiv. 17 February 2014. Retrieved 5 August 2015.
  17. Christophe; et al. (October 2012). "OSS (Outer Solar System): a fundamental and planetary physics mission to Neptune, Triton and the Kuiper Belt". Experimental Astronomy. 34 (2): 203–42. arXiv: 1106.0132 . Bibcode:2012ExA....34..203C. doi:10.1007/s10686-012-9309-y. S2CID   55295857.
  18. Steven Oleson (7 May 2015). "Triton Hopper: Exploring Neptune's Captured Kuiper Belt Object". NASA Glenn Research Center. Retrieved 11 February 2017.
  19. "Neptune's Moon Triton Is Destination of Proposed NASA Mission". New York Times. 2019-03-19. Retrieved 27 March 2019.
  20. Potter, Sean (2 June 2021). "NASA Selects 2 Missions to Study 'Lost Habitable' World of Venus" (Press release). NASA . Retrieved 2 June 2021.
  21. Abigail Rymer; Brenda Clyde; Kirby Runyon (August 2020). "Neptune Odyssey: Mission to the Neptune-Triton System" (PDF). Archived from the original (PDF) on 15 December 2020. Retrieved 18 April 2021.
  22. Hansen-Koharcheck, Candice; Fielhauer, Karl (7 June 2021). "Triton Ocean Worlds Surveyor concept study" (PDF). NASA.
  23. McKevitt, James; Bulla, Sophie; Dixon, Tom; Criscola, Franco; Parkinson-Swift, Jonathan; Bornberg, Christina; Singh, Jaspreet; Patel, Kuren; Laad, Aryan; Forder, Ethan; Ayin-Walsh, Louis; Beegadhur, Shayne; Wedde, Paul; Pappula, Bharath Simha Reddy; McDougall, Thomas; Foghis, Madalin; Kent, Jack; Morgan, James; Raj, Utkarsh; Heinreichsberger, Carina (18 June 2021). "An L-class Multirole Observatory and Science Platform for Neptune". 2021 Global Space Exploration Conference Proceedings. arXiv: 2106.09409 .
  24. Steckel, Amanda; Conrad, Jack William; Dekarske, Jason; Dolan, Sydney; Downey, Brynna Grace; Felton, Ryan; Hanson, Lavender Elle; Giesche, Alena; Horvath, Tyler; Maxwell, Rachel; Shumway, Andrew O; Siddique, Anamika; Strom, Caleb; Teece, Bronwyn; Todd, Jessica; Trinh, Kevin T; Velez, Michael A; Walter, Callum Andrew; Lowes, Leslie L; Hudson, Troy; Scully, Jennifer E. C. (12 December 2023). "The Science Case for Nautilus: A Multi-Flyby Mission Concept to Triton". AGU. Retrieved 11 January 2024.
  25. "Planetary Science Summer School · Jason Dekarske". Jason Dekarske. December 19, 2023. Retrieved January 25, 2024.
  26. "China's plans for outer Solar System exploration". The Planetary Society. 21 December 2023. Retrieved 18 April 2024.
  27. Candice Hansen; et al. "Argo - A Voyage Through the Outer Solar System" (PDF). SpacePolicyOnline.com. Space and Technology Policy Group, LLC. Archived from the original (PDF) on 24 September 2015. Retrieved 5 August 2015.
  28. "Space Launch Mission" (PDF). The Boeing Company. 2013. Archived from the original (PDF) on 23 September 2015. Retrieved 6 August 2015.
  29. William Harwood (3 July 2014). "NASA finalizes $2.8 billion Boeing contract for SLS rocket stage". CBS News . Retrieved 6 August 2015.
  30. Oddbjorn Engvold (2007). Reports on Astronomy 2003–2005 (IAU XXVIA): IAU Transactions XXVIA. Cambridge University Press. p. 147. ISBN   978-0-521-85604-1.
  31. Nemiroff, R.; Bonnell, J., eds. (18 February 2000). "Neptune through Adaptive Optics". Astronomy Picture of the Day . NASA.
  32. First Ground-Based Adaptive Optics Observations of Neptune and Proteus Planetary & Space Science Vol. 45, No. 8, pp. 1031–1036, 1997

Sources