The restricted 3-body problem with radiation pressure

Artificial equilibrium points for a generalized sail in the circular restricted three-body problem

“…In particular for η = 2 the result obtained with Eq. (31) is in agreement with Kunitsyn and Perezhogin (1978) and Simmons et al (1985). Note that in the plane (x, z) the distance ρ 1 is…”

“…In particular, when η = 2 and β > 0, that is, when the propulsion system is constituted by either a solar or a magnetic sail, in accordance with Simmons et al (1985), Eq. (30) states that β takes its maximum value (β = 1) as ρ 1 tends to zero.…”

“…Let ρ 1 (ρ 2 ) be the dimensionless vector from P 1 (P 2 ) to the spacecraft, and let µ m 2 /(m 1 + m 2 ) ∈ (0, 0.5] be the the range (0, 0.5] for the parameter µ is used, in this work, to achieve fully general results with the proposed mathematical model. Moreover, the selected range is useful to obtain a comparison with the classical results of the existing literature (Simmons et al, 1985) where the same variation range for the dimensionless mass µ is adopted.…”

“…Note that for a given ρ 1 < 1 (> 1) it is necessary to increase (decrease) η to decrease the performance parameter β. In particular, according to Kunitsyn and Perezhogin (1978), and Simmons et al (1985), if η = 2 two equilibrium points exist only for β ranging in the interval (1, 1/(1 − µ)). …”

“…In particular Perezhogin (1976); Kunitsyn and Perezhogin (1978); Schuerman (1980); Simmons et al (1985); Perezhogin and Tureshbaev (1989) investigated the effects of the thrust due to the radiation pressure on the CR3BP and showed that seven equilibrium points exist if one of the massive bodies is luminous. This problem is equivalent to consider a photonic (or solar) sail, whose thrust direction is fixed and radial with respect to the luminous body.…”