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Time since Periapsis in Parabolic Orbit given Mean Anomaly Formula

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The Time since Periapsis in Parabolic Orbit is a measure of the duration that has passed since an object in orbit, passed through its closest point to the central body, known as periapsis. Check FAQs

t p = \frac{{h p}^{3} \cdot M p}{{[GM.Earth]}^{2}}

t_p - Time since Periapsis in Parabolic Orbit?h_p - Angular Momentum of Parabolic Orbit?M_p - Mean Anomaly in Parabolic Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Time since Periapsis in Parabolic Orbit given Mean Anomaly Example

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Here is how the Time since Periapsis in Parabolic Orbit given Mean Anomaly equation looks like with Values.

Here is how the Time since Periapsis in Parabolic Orbit given Mean Anomaly equation looks like with Units.

Here is how the Time since Periapsis in Parabolic Orbit given Mean Anomaly equation looks like.

3577.8282 = \frac{73508^{3} \cdot 82}{{4E+14}^{2}}

3577.8282s = \frac{{73508km²/s}^{3} \cdot 82°}{{4E+14m³/s²}^{2}}

3577.8282 = \frac{73508^{3} \cdot 82}{{4E+14}^{2}}

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Time since Periapsis in Parabolic Orbit given Mean Anomaly Solution

Follow our step by step solution on how to calculate Time since Periapsis in Parabolic Orbit given Mean Anomaly?

FIRST Step Consider the formula

t p = \frac{{h p}^{3} \cdot M p}{{[GM.Earth]}^{2}}

Next Step Substitute values of Variables

∴

t p = \frac{{73508km²/s}^{3} \cdot 82°}{{[GM.Earth]}^{2}}

Next Step Substitute values of Constants

∴

t p = \frac{{73508km²/s}^{3} \cdot 82°}{{4E+14m³/s²}^{2}}

Next Step Convert Units

∴

t p = \frac{{7.4E+10m²/s}^{3} \cdot 1.4312rad}{{4E+14m³/s²}^{2}}

Next Step Prepare to Evaluate

∴

t p = \frac{{7.4E+10}^{3} \cdot 1.4312}{{4E+14}^{2}}

Next Step Evaluate

∴

t p = 3577.82824696055s

LAST Step Rounding Answer

∴

t p = 3577.8282s

Time since Periapsis in Parabolic Orbit given Mean Anomaly Formula Elements

Variables

Constants

Time since Periapsis in Parabolic Orbit

The Time since Periapsis in Parabolic Orbit is a measure of the duration that has passed since an object in orbit, passed through its closest point to the central body, known as periapsis.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time since Periapsis in Parabolic Orbit

Angular Momentum of Parabolic Orbit

Angular Momentum of Parabolic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.

Symbol: h_p

Measurement: Specific Angular MomentumUnit: km²/s

Note: Value should be greater than 0.

Formulas to find Angular Momentum of Parabolic Orbit

Mean Anomaly in Parabolic Orbit

Mean Anomaly in Parabolic Orbit is the fraction of orbit's period that has elapsed since the orbiting body passed periapsis.

Symbol: M_p

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Mean Anomaly in Parabolic Orbit

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

Other formulas in Orbital Position as Function of Time category

Go Mean Anomaly in Parabolic Orbit given True Anomaly

M p = \frac{\tan (\frac{θ p}{2})}{2} + \frac{{\tan (\frac{θ p}{2})}^{3}}{6}

Go True Anomaly in Parabolic Orbit given Mean Anomaly

θ p = 2 \cdot a \tan ({(3 \cdot M p + \sqrt{{(3 \cdot M p)}^{2} + 1})}^{\frac{1}{3}} - {(3 \cdot M p + \sqrt{{(3 \cdot M p)}^{2} + 1})}^{- \frac{1}{3}})

Go Mean Anomaly in Parabolic Orbit given Time since Periapsis

M p = \frac{{[GM.Earth]}^{2} \cdot t p}{{h p}^{3}}

How to Evaluate Time since Periapsis in Parabolic Orbit given Mean Anomaly?

Time since Periapsis in Parabolic Orbit given Mean Anomaly evaluator uses Time since Periapsis in Parabolic Orbit = (Angular Momentum of Parabolic Orbit^3*Mean Anomaly in Parabolic Orbit)/[GM.Earth]^2 to evaluate the Time since Periapsis in Parabolic Orbit, The Time Since Periapsis in Parabolic Orbit given Mean Anomaly formula is defined as the time that has elapsed since an object in a parabolic orbit passed through periapsis (the point of closest approach to the central body) based on the mean anomaly. Time since Periapsis in Parabolic Orbit is denoted by t_p symbol.

How to evaluate Time since Periapsis in Parabolic Orbit given Mean Anomaly using this online evaluator? To use this online evaluator for Time since Periapsis in Parabolic Orbit given Mean Anomaly, enter Angular Momentum of Parabolic Orbit (h_p) & Mean Anomaly in Parabolic Orbit (M_p) and hit the calculate button.

FAQs on Time since Periapsis in Parabolic Orbit given Mean Anomaly

What is the formula to find Time since Periapsis in Parabolic Orbit given Mean Anomaly?

The formula of Time since Periapsis in Parabolic Orbit given Mean Anomaly is expressed as Time since Periapsis in Parabolic Orbit = (Angular Momentum of Parabolic Orbit^3*Mean Anomaly in Parabolic Orbit)/[GM.Earth]^2. Here is an example- 3577.828 = (73508000000^3*1.43116998663508)/[GM.Earth]^2.

How to calculate Time since Periapsis in Parabolic Orbit given Mean Anomaly?

With Angular Momentum of Parabolic Orbit (h_p) & Mean Anomaly in Parabolic Orbit (M_p) we can find Time since Periapsis in Parabolic Orbit given Mean Anomaly using the formula - Time since Periapsis in Parabolic Orbit = (Angular Momentum of Parabolic Orbit^3*Mean Anomaly in Parabolic Orbit)/[GM.Earth]^2. This formula also uses Earth’s Geocentric Gravitational Constant .

Can the Time since Periapsis in Parabolic Orbit given Mean Anomaly be negative?

No, the Time since Periapsis in Parabolic Orbit given Mean Anomaly, measured in Time cannot be negative.

Which unit is used to measure Time since Periapsis in Parabolic Orbit given Mean Anomaly?

Time since Periapsis in Parabolic Orbit given Mean Anomaly is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time since Periapsis in Parabolic Orbit given Mean Anomaly can be measured.

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Time since Periapsis in Parabolic Orbit given Mean Anomaly Formula

Time since Periapsis in Parabolic Orbit given Mean Anomaly Example

Time since Periapsis in Parabolic Orbit given Mean Anomaly Solution

Time since Periapsis in Parabolic Orbit given Mean Anomaly Formula Elements

Other formulas in Orbital Position as Function of Time category

How to Evaluate Time since Periapsis in Parabolic Orbit given Mean Anomaly?

FAQs on Time since Periapsis in Parabolic Orbit given Mean Anomaly

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