Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-08T07:51:41.294Z Has data issue: false hasContentIssue false
  • English
  • Français

Velocity corrections in generalised Hohmann and bi-elliptic transfer orbits

Published online by Cambridge University Press:  04 July 2016

O. M. Kamel  and
A. S. Soliman
O. M. Kamel
Affiliation:
Astronomy and Space Science Department, Cairo UniversityEgypt
A. S. Soliman
Affiliation:
Theoretical Physics Department, National Research Center, Egypt
Get access Rights & Permissions [Opens in a new window]

Abstract

For generalised Hohmann and bi-elliptic transfer orbits, we applied small tangential impulses at peri-apse and apo-apse to acquire the precise destination elliptic orbit stemming from an initial orbit. There are four cases for this correctional or improvement process. We take into consideration the first configuration for the time being. We determined the four relationships connecting the increments in major axes and eccentricities with the correctional increments in velocities ΔvA, ΔvB at points A, B for the generalised Hohmann case. We assigned the three relationships - for the bi-elliptic transfer - connecting slight changes in major axes with small increments in velocities at points A, B, C due to motor thrusts.

Type
Research Article
Information
The Aeronautical Journal , Volume 106 , Issue 1064 , October 2002 , pp. 555 - 558
Copyright
Copyright © Royal Aeronautical Society 2002 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Lawden, D.F. Optimal transfers between coplanar elliptical orbits, J Guidance, 15, (3). Engineering Notes, 1990.Google Scholar
2. Herrick, S. Astrodynamks, (1), 1971, Van Nostrand, London.Google Scholar
3. Kamel, O.M. and Soliman, A.S. Bull FAC SCI, Cairo University, 1999, 67, pp61–71.Google Scholar
4. Ramsey, A.S. Dynamics, Part II, 1951, Cambridge University Press.Google Scholar
5. Ting, L. Astronautica Acta 6, 1960, 247.Google Scholar
6. Ting, L. ARSJ, 1960, pp 1013–1018.Google Scholar