Distant Retrograde Orbit
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A distant retrograde orbit (DRO), as most commonly conceived, is a spacecraft
orbit In celestial mechanics, an orbit is the curved trajectory of an object such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an object or position in space such as a p ...
around a moon that is highly stable because of its interactions with two
Lagrange point In celestial mechanics, the Lagrange points (; also Lagrangian points or libration points) are points of equilibrium for small-mass objects under the influence of two massive orbiting bodies. Mathematically, this involves the solution of th ...
s ( and ) of the planet–moon system. In more general terms, an object of negligible mass can be in a DRO around the smaller body of any two-body system, such as planet–Sun or exoplanet–star. Using the example of a spacecraft in a DRO around a moon, the craft would orbit in the direction opposite to the direction in which the moon orbits the planet. The orbit is "distant" in the sense that it passes above the Lagrange points, rather than being near the moon. If we consider more and more distant orbits, the
synodic period The orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. In astronomy, it usually applies to planets or asteroids orbiting the Sun, moons orbiting planets, ...
(the period between two moments when the craft passes between the planet and the moon) gets longer and approaches that of the moon going around the planet, so that the
sidereal period The orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. In astronomy, it usually applies to planets or asteroids orbiting the Sun, moons orbiting planets, ...
(the time it takes for the craft to come back to a given constellation as viewed from the moon) can become much longer than the orbital period of the moon. A hypothetical example with
Europa Europa may refer to: Places * Europe * Europa (Roman province), a province within the Diocese of Thrace * Europa (Seville Metro), Seville, Spain; a station on the Seville Metro * Europa City, Paris, France; a planned development * Europa Cliff ...
has a sidereal period about eight times the orbital period of Europa. DROs have been researched for several decades, but in 2022, NASA's
Orion Spacecraft Orion (officially Orion Multi-Purpose Crew Vehicle or Orion MPCV) is a Reusable spacecraft, partially reusable crewed spacecraft used in NASA's Artemis program. The spacecraft consists of a Crew Module (CM) space capsule designed by Lockheed ...
entered the orbit during the
Artemis 1 Artemis 1, officially Artemis I and formerly Exploration Mission-1 (EM-1), was an uncrewed Moon-orbiting mission. As the first major spaceflight of NASA's Artemis program, Artemis 1 marked the return of the agency to lunar exploration original ...
mission and it was speculated that the
Chang'e 5 Chang'e 5 () was the fifth lunar exploration mission of the Chinese Lunar Exploration Program, and China's first lunar sample-return mission. Like its predecessors, the spacecraft is named after the Chinese moon goddess Chang'e. It launched ...
orbiter may also have now done so.


Description

The stability of a DRO is defined in mathematical terms as having very high
Lyapunov stability Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. ...
, where an equilibrium orbit is " locally stable if all solutions which start near the point remain near that point for all time".


List of objects in distant retrograde orbit


Chang'e 5 orbiter

After dropping off return samples for Earth, China's
Chang'e 5 Chang'e 5 () was the fifth lunar exploration mission of the Chinese Lunar Exploration Program, and China's first lunar sample-return mission. Like its predecessors, the spacecraft is named after the Chinese moon goddess Chang'e. It launched ...
(CE-5) orbiter first moved to Sun-Earth Lagrange point 1 (L1) in March 2021 for solar observations. In January 2022, CE-5 left L1 point for the lunar distant retrograde orbit (DRO) to conduct
very-long-baseline interferometry Very-long-baseline interferometry (VLBI) is a type of astronomical interferometer, astronomical interferometry used in radio astronomy. In VLBI a signal from an astronomical radio source, such as a quasar, is collected at multiple radio telesco ...
tests in preparation for the next stage of China's Lunar Exploration Program. According to
The Space Review ''The Space Review'' is a free online publication, published weekly with in-depth articles, essays, commentary and reviews on space exploration and development. It was founded in February 2003 by Jeff Foust, the current editor, publisher and regu ...
(TSR), this maneuver was depicted in Chinese government and academic documents. In February 2022, Multiple amateur satellite trackers observed CE-5 had entered DRO, which was the first spacecraft in history to utilize the orbit.


Orion spacecraft

On 16 November 2022, the
Space Launch System The Space Launch System (SLS) is an American super heavy-lift expendable launch vehicle developed by NASA. As of 2022, SLS has the highest payload capacity of any rocket in operational service, as well as the greatest liftoff thrust of any r ...
was launched from Complex 39B as part of the
Artemis 1 Artemis 1, officially Artemis I and formerly Exploration Mission-1 (EM-1), was an uncrewed Moon-orbiting mission. As the first major spaceflight of NASA's Artemis program, Artemis 1 marked the return of the agency to lunar exploration original ...
mission carrying Orion to the moon. On 25 November it entered DRO and orbited the Moon in that orbit.


Space concepts proposed to use a DRO


Jupiter Icy Moons Orbiter

A distant retrograde orbit was one of the proposed orbits around
Europa Europa may refer to: Places * Europe * Europa (Roman province), a province within the Diocese of Thrace * Europa (Seville Metro), Seville, Spain; a station on the Seville Metro * Europa City, Paris, France; a planned development * Europa Cliff ...
for the
Jupiter Icy Moons Orbiter The ''Jupiter Icy Moons Orbiter'' (JIMO) was a proposed NASA spacecraft designed to explore the icy moons of Jupiter. The main target was Europa, where an ocean of liquid water may harbor alien life. Ganymede and Callisto, which are now thou ...
—principally for its projected stability and low-energy transfer characteristics—but that mission concept was cancelled in 2005.


Asteroid Redirect Mission (ARM)

A distant retrograde orbit was considered to be used for the proposed Asteroid Redirect Mission. Although the mission would end up getting cancelled, the research done with DRO in-mind, lead to the orbit being used for
Artemis 1 Artemis 1, officially Artemis I and formerly Exploration Mission-1 (EM-1), was an uncrewed Moon-orbiting mission. As the first major spaceflight of NASA's Artemis program, Artemis 1 marked the return of the agency to lunar exploration original ...
.


NASA Lunar Gateway

Two system requirements for the NASA
Lunar Gateway The Lunar Gateway, or simply Gateway, is the first planned extraterrestrial space station in lunar orbit intended to serve as a solar-powered communication hub, science laboratory, and short-term habitation module for government-agency astr ...
, as published in the Baseline DSG-RQMT-001 published in June 2019, mention the use of lunar DROs. Requirement L2-GW-0029, Single Orbit Transfer, states "the Gateway shall be capable of performing a single round trip transfer to Distant Retrograde Orbit (DRO) and back within 11 months". Requirement L2-GW-0026, Propulsion System Capability, states "the Gateway shall provide a fuel capacity that would support performing a minimum of two round-trip uncrewed low-energy
cislunar Outer space, commonly shortened to space, is the expanse that exists beyond Earth and its atmosphere and between celestial bodies. Outer space is not completely empty—it is a near-perfect vacuum containing a low density of particles, predo ...
orbit transfers between a
near-rectilinear halo orbit A near-rectilinear halo orbit (NRHO) is a halo orbit with slightly curved – or nearly straight – sides between close passes with an orbiting body. The 2022 CAPSTONE mission is the first such orbit in cislunar space, and this Moon-centric orb ...
(NRHO) and a distant retrograde orbit (DRO) and orbit maintenance for a period of 15 years between refueling". Although the selected orbit for the Gateway has been confirmed to be NRHO instead of DRO.


DRO orbits in fiction

In the 2019
Daniel Suarez Daniel is a masculine given name and a surname of Hebrew origin. It means "God is my judge"Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 68. (cf. Gabriel—"God is my strength"), ...
novel ''Delta-v'', a 560-tonne crewed asteroid-mining ship ''Konstantin'' is constructed in a lunar DRO approximately above the Moon.


See also

*
Free-return trajectory In orbital mechanics, a free-return trajectory is a trajectory of a spacecraft traveling away from a primary body (for example, the Earth) where gravity due to a secondary body (for example, the Moon) causes the spacecraft to return to the primar ...


References

{{Orbits, state=expanded Astrodynamics Three-body orbits