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   Elliptical Orbits PDF
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Contents of the Elliptical Orbits PDF

List of 23 Elliptical Orbits Formulas

Angular Momentum in Elliptic Orbit Given Apogee Radius and Apogee Velocity
​Go
Angular Momentum in Elliptic Orbit Given Perigee Radius and Perigee Velocity
​Go
Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity
​Go
Apogee Velocity in Elliptic Orbit Given Angular Momentum and Apogee Radius
​Go
Azimuth-Averaged Radius Given Apogee and Perigee Radii
​Go
Eccentric Anomaly in Elliptic Orbit given True Anomaly and Eccentricity
​Go
Eccentricity of Elliptical Orbit given Apogee and Perigee
​Go
Eccentricity of Orbit
​Go
Elliptical Orbit Time Period given Angular Momentum and Eccentricity
​Go
Mean Anomaly in Elliptic Orbit given Eccentric Anomaly and Eccentricity
​Go
Mean Anomaly in Elliptic Orbit given Time since Periapsis
​Go
Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum
​Go
Radial Velocity in Elliptic Orbit given True Anomaly, Eccentricity, and Angular Momentum
​Go
Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii
​Go
Specific Energy of Elliptic Orbit given Angular Momentum
​Go
Specific Energy of Elliptic Orbit given Semi Major Axis
​Go
Time Period for One Complete Revolution given Angular Momentum
​Go
Time Period of Elliptical Orbit given Angular Momentum
​Go
Time Period of Elliptical Orbit given Semi-Major Axis
​Go
Time since Periapsis in Elliptic Orbit given Eccentric Anomaly and Time Period
​Go
Time since Periapsis in Elliptic Orbit given Mean Anomaly
​Go
True Anomaly in Elliptic Orbit given Eccentric Anomaly and Eccentricity
​Go
True Anomaly in Elliptic Orbit Given Radial Position, Eccentricity, and Angular Momentum
​Go

Variables used in Elliptical Orbits PDF

  1. ae Semi Major Axis of Elliptic Orbit (Kilometer)
  2. be Semi Minor Axis of Elliptic Orbit (Kilometer)
  3. dfoci Distance Between Two Foci (Kilometer)
  4. E Eccentric Anomaly (Degree)
  5. ee Eccentricity of Elliptical Orbit
  6. he Angular Momentum of Elliptic Orbit (Square Kilometer per Second)
  7. Me Mean Anomaly in Elliptical Orbit (Degree)
  8. re Radial Position in Elliptical Orbit (Kilometer)
  9. re,apogee Apogee Radius in Elliptic Orbit (Kilometer)
  10. re,perigee Perigee Radius in Elliptic Orbit (Kilometer)
  11. rθ Azimuth Averaged Radius (Kilometer)
  12. te Time since Periapsis in Elliptical Orbit (Second)
  13. Te Time Period of Elliptic Orbit (Second)
  14. vapogee Velocity of Satellite at Apogee (Kilometer per Second)
  15. vperigee Velocity of Satellite at Perigee (Kilometer per Second)
  16. vr Radial Velocity of Satellite (Kilometer per Second)
  17. εe Specific Energy of Elliptical Orbit (Kilojoule per Kilogram)
  18. θe True Anomaly in Elliptical Orbit (Degree)

Constants, Functions and Measurements used in Elliptical Orbits PDF

  1. Constant: pi, 3.14159265358979323846264338327950288
    Archimedes' constant
  2. Constant: [GM.Earth], 3.986004418E+14
    Earth’s Geocentric Gravitational Constant
  3. Function: acos, acos(Number)
    The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.
  4. Function: atan, atan(Number)
    Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.
  5. Function: cos, cos(Angle)
    Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
  6. Function: Pi, Pi(Number)
    The prime-counting function is a function in mathematics that counts the number of prime numbers that are less than or equal to a given real number.
  7. Function: sin, sin(Angle)
    Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
  8. Function: sqrt, sqrt(Number)
    A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
  9. Function: tan, tan(Angle)
    The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
  10. Measurement: Length in Kilometer (km)
    Length Unit Conversion
  11. Measurement: Time in Second (s)
    Time Unit Conversion
  12. Measurement: Speed in Kilometer per Second (km/s)
    Speed Unit Conversion
  13. Measurement: Angle in Degree (°)
    Angle Unit Conversion
  14. Measurement: Specific Energy in Kilojoule per Kilogram (kJ/kg)
    Specific Energy Unit Conversion
  15. Measurement: Specific Angular Momentum in Square Kilometer per Second (km²/s)
    Specific Angular Momentum Unit Conversion
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Free Elliptical Orbits PDF

Get Free Elliptical Orbits PDF for Download today. Examples are included after each Formula with a link to a live Calculator! All the Formulas and Calculators support Unit Conversion as well. This PDF features 23 calculators from Orbital Mechanics. Inside, you'll discover a list of formulas such as Eccentric Anomaly in Elliptic Orbit given True Anomaly and Eccentricity, True Anomaly in Elliptic Orbit given Eccentric Anomaly and Eccentricity and 23 more formulas!. The Variables, Functions and Constants are summarized at the end. Explore and share Elliptical Orbits PDFs!

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