Introducing new analytical equations of tandem launch vehicle velocity lost using non-linear regression

Document Type : Original Article

Authors
1 Malek Ashtar University of Technology
2 Malek Ashtar University of Technology, Aerospace Department
3 Malek Ashtar University of Technology,Aerospace Department
4 Malek Ashtar University of Technology, Aerospace department
Abstract
In this research, firstly, the importance of accurate calculation of satellite speed losses and the factors affecting them were discussed. The input data of 15 satellite launchers built by different countries around the world with variations in the number of stages, orbital height and payload mass were collected and by means of accurate path simulation software, their optimal turn angle program was extracted as well as speed losses due to earth's gravity, propulsion and the drag is calculated and presented. In the following, by using the non-linear regression method, three analytical relations with acceptable error have been extracted and introduced to estimate speed losses, which can replace the use of route simulation code in the conceptual design phase of carriers. These relationships have been evaluated by the information of two satellites outside the statistical data used in the regression, including Safir and Epsilon, and the accuracy of the algorithm has been confirmed with a maximum error of 12% and an average error of less than 6%.
Keywords
Subjects

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Volume 4, Issue 2
March 2025
Pages 24-36

  • Receive Date 03 June 2024
  • Revise Date 19 July 2024
  • Accept Date 20 November 2024