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Parameter of Orbit given X Coordinate of Parabolic Trajectory Formula

GoParameter of Orbit given Y Coordinate of Parabolic Trajectory Formula

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Parameter of Parabolic Orbit is defined as the half of chord length through the center of attraction perpendicular to the apse line. Check FAQs

p p = x \cdot \frac{1 + \cos (θ p)}{\cos (θ p)}

p_p - Parameter of Parabolic Orbit?x - X Coordinate Value?θ_p - True Anomaly in Parabolic Orbit?

Parameter of Orbit given X Coordinate of Parabolic Trajectory Example

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Here is how the Parameter of Orbit given X Coordinate of Parabolic Trajectory equation looks like with Values.

Here is how the Parameter of Orbit given X Coordinate of Parabolic Trajectory equation looks like with Units.

Here is how the Parameter of Orbit given X Coordinate of Parabolic Trajectory equation looks like.

10801.1897 = -7906 \cdot \frac{1 + \cos (115)}{\cos (115)}

10801.1897km = -7906km \cdot \frac{1 + \cos (115°)}{\cos (115°)}

10801.1897 = -7906 \cdot \frac{1 + \cos (115)}{\cos (115)}

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Parameter of Orbit given X Coordinate of Parabolic Trajectory Solution

Follow our step by step solution on how to calculate Parameter of Orbit given X Coordinate of Parabolic Trajectory?

FIRST Step Consider the formula

p p = x \cdot \frac{1 + \cos (θ p)}{\cos (θ p)}

Next Step Substitute values of Variables

∴

p p = -7906km \cdot \frac{1 + \cos (115°)}{\cos (115°)}

Next Step Convert Units

∴

p p = -7906000m \cdot \frac{1 + \cos (2.0071rad)}{\cos (2.0071rad)}

Next Step Prepare to Evaluate

∴

p p = -7906000 \cdot \frac{1 + \cos (2.0071)}{\cos (2.0071)}

Next Step Evaluate

∴

p p = 10801189.7164189m

Next Step Convert to Output's Unit

∴

p p = 10801.1897164189km

LAST Step Rounding Answer

∴

p p = 10801.1897km

Parameter of Orbit given X Coordinate of Parabolic Trajectory Formula Elements

Variables

Functions

Parameter of Parabolic Orbit

Parameter of Parabolic Orbit is defined as the half of chord length through the center of attraction perpendicular to the apse line.

Symbol: p_p

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Parameter of Parabolic Orbit

X Coordinate Value

X Coordinate Value is the distance of the object in horizontal direction from the origin.

Symbol: x

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Formulas to find X Coordinate Value

True Anomaly in Parabolic Orbit

True Anomaly in Parabolic Orbit measures the angle between the object's current position and the perigee (the point of closest approach to the central body) when viewed from the focus of the orbit.

Symbol: θ_p

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find True Anomaly in Parabolic Orbit

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Parameter of Parabolic Orbit

Go Parameter of Orbit given Y Coordinate of Parabolic Trajectory

p p = y \cdot \frac{1 + \cos (θ p)}{\sin (θ p)}

Other formulas in Parabolic Orbit Parameters category

Go Escape Velocity given Radius of Parabolic Trajectory

v p,esc = \sqrt{\frac{2 \cdot [GM.Earth]}{r p}}

Go Radial Position in Parabolic Orbit given Escape Velocity

r p = \frac{2 \cdot [GM.Earth]}{{v p,esc}^{2}}

Go X Coordinate of Parabolic Trajectory given Parameter of Orbit

x = p p \cdot (\frac{\cos (θ p)}{1 + \cos (θ p)})

Go Y Coordinate of Parabolic Trajectory given Parameter of Orbit

y = p p \cdot \frac{\sin (θ p)}{1 + \cos (θ p)}

How to Evaluate Parameter of Orbit given X Coordinate of Parabolic Trajectory?

Parameter of Orbit given X Coordinate of Parabolic Trajectory evaluator uses Parameter of Parabolic Orbit = X Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/cos(True Anomaly in Parabolic Orbit) to evaluate the Parameter of Parabolic Orbit, The Parameter of Orbit given X Coordinate of Parabolic Trajectory formula is defined as half of chord length through the center of attraction perpendicular to the apse line. Parameter of Parabolic Orbit is denoted by p_p symbol.

How to evaluate Parameter of Orbit given X Coordinate of Parabolic Trajectory using this online evaluator? To use this online evaluator for Parameter of Orbit given X Coordinate of Parabolic Trajectory, enter X Coordinate Value (x) & True Anomaly in Parabolic Orbit (θ_p) and hit the calculate button.

FAQs on Parameter of Orbit given X Coordinate of Parabolic Trajectory

What is the formula to find Parameter of Orbit given X Coordinate of Parabolic Trajectory?

The formula of Parameter of Orbit given X Coordinate of Parabolic Trajectory is expressed as Parameter of Parabolic Orbit = X Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/cos(True Anomaly in Parabolic Orbit). Here is an example- 7.163528 = (-7906000)*(1+cos(2.0071286397931))/cos(2.0071286397931).

How to calculate Parameter of Orbit given X Coordinate of Parabolic Trajectory?

With X Coordinate Value (x) & True Anomaly in Parabolic Orbit (θ_p) we can find Parameter of Orbit given X Coordinate of Parabolic Trajectory using the formula - Parameter of Parabolic Orbit = X Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/cos(True Anomaly in Parabolic Orbit). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Parameter of Parabolic Orbit?

Here are the different ways to Calculate Parameter of Parabolic Orbit-

Parameter of Parabolic Orbit=Y Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/sin(True Anomaly in Parabolic Orbit)

Can the Parameter of Orbit given X Coordinate of Parabolic Trajectory be negative?

No, the Parameter of Orbit given X Coordinate of Parabolic Trajectory, measured in Length cannot be negative.

Which unit is used to measure Parameter of Orbit given X Coordinate of Parabolic Trajectory?

Parameter of Orbit given X Coordinate of Parabolic Trajectory is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Parameter of Orbit given X Coordinate of Parabolic Trajectory can be measured.

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