Stationary Configurations for Co-orbital Satellites with Small Arbitrary Masses

Details Stationary Configurations for Co-orbital Satellites with Small Arbitrary Masses Stationary Configurations for Co-orbital Satellites with Small Arbitrary Masses

Apr 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..88..397r&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 88, Issue 4, p. 397-414 (2004).

Astronomy and Astrophysics

Astronomy

5

Scientific paper

We derive general results on the existence of stationary configurations for N co-orbital satellites with small but otherwise arbitrary masses m i , revolving on circular and planar orbits around a massive primary. The existence of stationary configurations depends on the parity of N. If N is odd, then for any arbitrary angular separation between the satellites, there always exists a set of masses (positive or negative) which achieves stationarity. However, physically acceptable solutions (m i > 0 for all i) restrict this existence to sub-domains of angular separations. If N is even, then for given angular separations of the satellites, there is in general no set of masses which achieves stationarity. The case N=3 is treated completely for small arbitrary satellite masses, giving all the possible solutions and their stability, to within our approximations.

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