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Analysis of Earth-Uranus Direct-Transfer Trajectory for Optimal Delta-V Using Lambert’s Problem

Received: 23 May 2022     Accepted: 9 June 2022     Published: 21 June 2022
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Abstract

The Ice Giants may become a sought-after destination in the coming decades as researchers aim to have a better awareness of our Solar system- its origins and growth. The interplanetary trajectory optimization is an important aspect of the analysis of a mission to Uranus. This study investigates possible interplanetary paths to Uranus in the 2022-2030 timeframe. It provides a preliminary estimate of fuel consumption in units of ΔV for various mission durations. A variety of approaches can be used to travel from Earth to another planet. It is conceivable to use a direct transfer route with two engine burns, one at a parking orbit around the Earth and the other to capture around the target planet. This article emphasizes a direct transfer trajectory analysis towards Uranus using Lambert’s problem. Different lambert arcs were considered for the direct transfer. Variations of excess velocities at arrival and departure for various time-of-flight were obtained. The ceiling of the time-of-flight was fixed as 16.5 years by performing a Hohmann transfer. The minimum ΔV was obtained for various time-of-flight ranging from 8.5 years to 16.5 years. The ideal ΔV obtained during the fixed timeframe lies between 6.87 km/s and 7.98 km/s. The minimum value of ΔV was observed for the time-of-flight of 13.5 years.

Published in International Journal of Astrophysics and Space Science (Volume 10, Issue 1)
DOI 10.11648/j.ijass.20221001.12
Page(s) 9-17
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Direct Transfer Trajectory, Lambert’s Problem, Patched-Conic Method, Earth-Uranus Mission, Optimal Delta-V, Interplanetary Mission

References
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Cite This Article
  • APA Style

    Gisa Geoson Suseela, Yadu Krishnan Sukumarapillai, Hariprasad Thimmegowda, Pavan Kalyan Devaiah, Manjunath Nagendra, et al. (2022). Analysis of Earth-Uranus Direct-Transfer Trajectory for Optimal Delta-V Using Lambert’s Problem. International Journal of Astrophysics and Space Science, 10(1), 9-17. https://doi.org/10.11648/j.ijass.20221001.12

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    ACS Style

    Gisa Geoson Suseela; Yadu Krishnan Sukumarapillai; Hariprasad Thimmegowda; Pavan Kalyan Devaiah; Manjunath Nagendra, et al. Analysis of Earth-Uranus Direct-Transfer Trajectory for Optimal Delta-V Using Lambert’s Problem. Int. J. Astrophys. Space Sci. 2022, 10(1), 9-17. doi: 10.11648/j.ijass.20221001.12

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    AMA Style

    Gisa Geoson Suseela, Yadu Krishnan Sukumarapillai, Hariprasad Thimmegowda, Pavan Kalyan Devaiah, Manjunath Nagendra, et al. Analysis of Earth-Uranus Direct-Transfer Trajectory for Optimal Delta-V Using Lambert’s Problem. Int J Astrophys Space Sci. 2022;10(1):9-17. doi: 10.11648/j.ijass.20221001.12

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  • @article{10.11648/j.ijass.20221001.12,
      author = {Gisa Geoson Suseela and Yadu Krishnan Sukumarapillai and Hariprasad Thimmegowda and Pavan Kalyan Devaiah and Manjunath Nagendra and Tamore Silviya Dhiraj},
      title = {Analysis of Earth-Uranus Direct-Transfer Trajectory for Optimal Delta-V Using Lambert’s Problem},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {10},
      number = {1},
      pages = {9-17},
      doi = {10.11648/j.ijass.20221001.12},
      url = {https://doi.org/10.11648/j.ijass.20221001.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20221001.12},
      abstract = {The Ice Giants may become a sought-after destination in the coming decades as researchers aim to have a better awareness of our Solar system- its origins and growth. The interplanetary trajectory optimization is an important aspect of the analysis of a mission to Uranus. This study investigates possible interplanetary paths to Uranus in the 2022-2030 timeframe. It provides a preliminary estimate of fuel consumption in units of ΔV for various mission durations. A variety of approaches can be used to travel from Earth to another planet. It is conceivable to use a direct transfer route with two engine burns, one at a parking orbit around the Earth and the other to capture around the target planet. This article emphasizes a direct transfer trajectory analysis towards Uranus using Lambert’s problem. Different lambert arcs were considered for the direct transfer. Variations of excess velocities at arrival and departure for various time-of-flight were obtained. The ceiling of the time-of-flight was fixed as 16.5 years by performing a Hohmann transfer. The minimum ΔV was obtained for various time-of-flight ranging from 8.5 years to 16.5 years. The ideal ΔV obtained during the fixed timeframe lies between 6.87 km/s and 7.98 km/s. The minimum value of ΔV was observed for the time-of-flight of 13.5 years.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Analysis of Earth-Uranus Direct-Transfer Trajectory for Optimal Delta-V Using Lambert’s Problem
    AU  - Gisa Geoson Suseela
    AU  - Yadu Krishnan Sukumarapillai
    AU  - Hariprasad Thimmegowda
    AU  - Pavan Kalyan Devaiah
    AU  - Manjunath Nagendra
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    DO  - 10.11648/j.ijass.20221001.12
    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
    SP  - 9
    EP  - 17
    PB  - Science Publishing Group
    SN  - 2376-7022
    UR  - https://doi.org/10.11648/j.ijass.20221001.12
    AB  - The Ice Giants may become a sought-after destination in the coming decades as researchers aim to have a better awareness of our Solar system- its origins and growth. The interplanetary trajectory optimization is an important aspect of the analysis of a mission to Uranus. This study investigates possible interplanetary paths to Uranus in the 2022-2030 timeframe. It provides a preliminary estimate of fuel consumption in units of ΔV for various mission durations. A variety of approaches can be used to travel from Earth to another planet. It is conceivable to use a direct transfer route with two engine burns, one at a parking orbit around the Earth and the other to capture around the target planet. This article emphasizes a direct transfer trajectory analysis towards Uranus using Lambert’s problem. Different lambert arcs were considered for the direct transfer. Variations of excess velocities at arrival and departure for various time-of-flight were obtained. The ceiling of the time-of-flight was fixed as 16.5 years by performing a Hohmann transfer. The minimum ΔV was obtained for various time-of-flight ranging from 8.5 years to 16.5 years. The ideal ΔV obtained during the fixed timeframe lies between 6.87 km/s and 7.98 km/s. The minimum value of ΔV was observed for the time-of-flight of 13.5 years.
    VL  - 10
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Author Information
  • Department of Aerospace Engineering, Alliance University, Bangalore, India

  • Department of Aerospace Engineering, Alliance University, Bangalore, India

  • Department of Aerospace Engineering, Alliance University, Bangalore, India

  • Department of Aerospace Engineering, Alliance University, Bangalore, India

  • Department of Aerospace Engineering, Alliance University, Bangalore, India

  • Department of Aerospace Engineering, Alliance University, Bangalore, India

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