Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   JOURNAL OF SPACE SCIENCE AND TECHNOLOGY (JSST)   FALL 2016 , Volume 9 , Number 3 ; Page(s) 1 To 12.
 
Paper: 

APPROXIMATE SOLUTION OF REQUIRED VELOCITY IN ELLIPTICAL EARTH MODEL USING PIECEWISE LINEAR

 
 
Author(s):  DEHGHANI MOHAMMAD ABADI MOHSEN, JALALI NAINI SEYED HAMID*
 
* 
 
Abstract: 

In this paper, an approximate solution of required velocity with final position constraint is derived using a piecewise linear gravity assumption for elliptical earth model. In this approach, the total flight time is divided into several time intervals and the gravitational acceleration is assumed to be linear at each interval. The solution gives an explicit relation in terms of the current position vector, desired final position and flight time in three dimensions. The accuracy and computational burden of the method are obtained numerically in terms of the number of time intervals, and compared with linearized solution and Zarchan's iterative algorithm. Numerical solution shows that the present method has better accuracy than the two mentioned approaches with the same computational burden up to a range angle of 18 deg for minimum energy trajectory in an elliptical earth model. The presented method can be extended for two or multi-body problem and also for the computation of sensitivity matrix of required velocity.

 
Keyword(s): REQUIRED VELOCITY, ELLIPTICAL EARTH, PIECEWISE LINEAR GRAVITY
 
References: 
  • ندارد
 
  Persian Abstract Yearly Visit 75
 
Latest on Blog
Enter SID Blog