Restricted three-body problem when one of the primaries is an ellipsoid

Idrisi, M. Javed; Taqvi, Z. A.

doi:10.1007/s10509-013-1534-y

Cited by 23 publications

(11 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[36]; Sosnytskyi [38]; Ershkov [46]; Arredondo et.al. [47]; Idrisi and Taqvi [48]; Idrisi [49]; Idrisi and Shalini [59]; Idrisi and Jain [60]. The photo-gravitational restricted three-body problem arises from the classical problem if one or both primaries is an intense emitter of radiation, formulated by Radzievskii (1950).…”

Section: Introductionmentioning

confidence: 99%

A study of libration points in CR3BP under albedo effect

Idrisi¹

2016

IJAA

View full text Add to dashboard Cite

In this paper this is investigated how albedo perturbed the libration points from its original position? It is found that there exist five libration points, three collinear and two non-collinear and all the libration points are affected by Albedo. The non-collinear libration points are stable for a critical value of mass parameter µ ≤ µ c , where µ c = µ o − (0.00891747 + 0.222579k)α (µ o is the critical mass parameter for classical case) but collinear libration points are still unstable.

show abstract

Section: Introductionmentioning

confidence: 99%

A study of libration points in CR3BP under albedo effect

Idrisi¹

2016

IJAA

View full text Add to dashboard Cite

show abstract

“…[21]; Arredondo et.al. [22]; Idrisi and Taqvi [23]; Idrisi [24]; Idrisi and Amjad [25], Idrisi [26]. We got the idea of our problem from the paper 'Rotating Stratified Heterogeneous Oblate Spheriodin Newtonian Physics' by Esteban and Vazquez.…”

Section: Introductionmentioning

confidence: 99%

Non-collinear libration points in CR3BP when less massive primary is an heterogeneous oblate body with N-layers

Idrisi¹,

Kumari²

2016

IJAA

View full text Add to dashboard Cite

In the present paper, the existence of non-collinear libration points has been shown in circular restricted three-body problem when less massive primary is a heterogeneous oblate body with N-layers. Further, the stability of non-collinear libration points is investigated in linear sense and found that the non-collinear libration points are stable for the critical value of mass parameter µ ≤ µ crit = µ o -3.32792 k 1 -1.16808 k 2 .

show abstract

“…[21]; Arredondo et.al. [22]; Idrisi and Taqvi [23]; Idrisi [24]; Idrisi and Amjad [25]. In 1958, W. D. MacMillan [1] gave a theory to find out the potential of ellipsoid in terms of largest root of confocal ellipsoid.…”

Section: Introductionmentioning

confidence: 99%

A general solution to non-collinear equilibria in terms of largest root (κ) of confocal oblate spheroid

Idrisi¹

2016

IJAA

View full text Add to dashboard Cite

This paper deals with the existence of non-collinear equilibria in restricted three-body problem when less massive primary is an oblate spheroid and the potential of oblate spheroid is in terms of largest root of confocal oblate spheroid. This is found that the non-collinear equilibria are the solution of the equations r 1 = n -2/3 and κ = 1 -a 2 , where r 1 is the distance of the infinitesimal mass from more massive primary, n is mean-motion of primaries, a is semi axis of oblate spheroid and κ is the largest root of the equation of confocal oblate spheroid passes through the infinitesimal mass.

show abstract

Restricted three-body problem when one of the primaries is an ellipsoid

Cited by 23 publications

References 11 publications

A study of libration points in CR3BP under albedo effect

A study of libration points in CR3BP under albedo effect

Non-collinear libration points in CR3BP when less massive primary is an heterogeneous oblate body with N-layers

A general solution to non-collinear equilibria in terms of largest root (κ) of confocal oblate spheroid

Contact Info

Product

Resources

About