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Closed-Form Approximation of Revisit Rate for Low-Altitude Satellites.

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Title: Closed-Form Approximation of Revisit Rate for Low-Altitude Satellites.
Authors: Burk, Roger Chapman1
Source: Journal of Spacecraft & Rockets. Jul/Aug2013, Vol. 50 Issue 4, p872-883. 12p.
Subjects: Space vehicle aerodynamics, Orbits (Astronomy), Astrodynamics, Simulation methods & models, Mathematical optimization
Abstract: For many applications of low-altitude spacecraft, it is important to know how often the spacecraft revisits a given target. Average revisits per day can be calculated for a given scenario using astrodynamic software, but that approach can be tedious if a large number of cases are to be compared. This paper develops a closed-form, continuous, and piecewise differentiable function that gives average revisits per day as a function of orbit altitude, orbit inclination, target latitude, and minimum required elevation. The function is compared with the results of astrodynamic simulations and shown to be accurate to within 0.08 passes per day and 1% in almost all cases. It allows instant calculation of an excellent approximation of this important performance parameter and could be used as part of an optimization routine. The convenience and flexibility provided by this function are demonstrated in a series of charts showing passes per day as a function of one, two, and three variables. The function assumes a circular orbit; the sensitivity of the result to eccentricity is explored using astrodynamic simulations and is found to decrease by 5.3 % as eccentricity increases to 0.07 for a typical case. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Spacecraft & Rockets is the property of American Institute of Aeronautics & Astronautics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: <searchLink fieldCode="DE" term="%22Space+vehicle+aerodynamics%22">Space vehicle aerodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Orbits+%28Astronomy%29%22">Orbits (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Astrodynamics%22">Astrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
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  Data: For many applications of low-altitude spacecraft, it is important to know how often the spacecraft revisits a given target. Average revisits per day can be calculated for a given scenario using astrodynamic software, but that approach can be tedious if a large number of cases are to be compared. This paper develops a closed-form, continuous, and piecewise differentiable function that gives average revisits per day as a function of orbit altitude, orbit inclination, target latitude, and minimum required elevation. The function is compared with the results of astrodynamic simulations and shown to be accurate to within 0.08 passes per day and 1% in almost all cases. It allows instant calculation of an excellent approximation of this important performance parameter and could be used as part of an optimization routine. The convenience and flexibility provided by this function are demonstrated in a series of charts showing passes per day as a function of one, two, and three variables. The function assumes a circular orbit; the sensitivity of the result to eccentricity is explored using astrodynamic simulations and is found to decrease by 5.3 % as eccentricity increases to 0.07 for a typical case. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Spacecraft & Rockets is the property of American Institute of Aeronautics & Astronautics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.2514/1.A32275
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 12
        StartPage: 872
    Subjects:
      – SubjectFull: Space vehicle aerodynamics
        Type: general
      – SubjectFull: Orbits (Astronomy)
        Type: general
      – SubjectFull: Astrodynamics
        Type: general
      – SubjectFull: Simulation methods & models
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
    Titles:
      – TitleFull: Closed-Form Approximation of Revisit Rate for Low-Altitude Satellites.
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              M: 07
              Text: Jul/Aug2013
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              Y: 2013
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            – TitleFull: Journal of Spacecraft & Rockets
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