Orbital motion under continuous radial thrust

Boltz, Frederick W.

doi:10.2514/3.20690

Cited by 44 publications

(25 citation statements)

References 2 publications

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“…In particular, he provided analytic solutions to the constant radial thrust problem, hereafter referred to as the Tsien problem. A comprehensive analysis of the problem is presented by Battin (1987) and Boltz (1991). It is found that there exists a limit value of the constant thrust that leads to a limit circular orbit.…”

Section: Introductionmentioning

confidence: 99%

DROMO formulation for planar motions: solution to the Tsien problem

Urrutxua

Morante

Sanjurjo-Rivo

et al. 2015

Celest Mech Dyn Astr

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The two-body problem subject to a constant radial thrust is analyzed as a planar motion. The description of the problem is performed in terms of three perturbation methods: DROMO and two others due to Deprit. All of them rely on Hansen's ideal frame concept. An explicit, analytic, closed-form solution is obtained for this problem when the initial orbit is circular (Tsien problem), based on the DROMO special perturbation method, and expressed in terms of elliptic integral functions. The analytical solution to the Tsien problem is later used as a reference to test the numerical performance of various orbit propagation methods, including DROMO and Deprit methods, as well as Cowell and Kustaanheimo-Stiefel methods.

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Section: Introductionmentioning

confidence: 99%

DROMO formulation for planar motions: solution to the Tsien problem

Urrutxua

Morante

Sanjurjo-Rivo

et al. 2015

Celest Mech Dyn Astr

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show abstract

“…The motion of a constant mass spacecraft under a radial thrust inversely proportional to the square of the distance from the primary body has been studied by Boltz (1991), and then further investigated by McInnes (2003) and Yamakawa (2006). From a practical point of view, a pure radial thrust can be obtained with a passive control by means of a sail having a slightly conical form, and whose apex is directed sunward (McInnes, 2003;Mengali and Quarta, 2005b).…”

Section: Introductionmentioning

confidence: 99%

Analytical results for solar sail optimal missions with modulated radial thrust

Quarta

Mengali

2010

Celest Mech Dyn Astr

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“…A comprehensive analysis of the problem was presented by Battin [3], Boltz [4], and latter work by other authors [5,6,7,8] has provided further insight to the problem. The Tsien problem is integrable and admits closed-form solutions in terms of standard elliptic integrals: the radial time evolution depends on the incomplete elliptic integrals of the first and second kinds, and the orbit evolution is known to depend on the incomplete elliptic integral of the third kind [6].…”

Section: Introductionmentioning

confidence: 99%