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Y Coordinate of Parabolic Trajectory given Parameter of Orbit Formula

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Y Coordinate Value is the distance of the object in vertical direction from the origin. Check FAQs

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

y - Y Coordinate Value?p_p - Parameter of Parabolic Orbit?θ_p - True Anomaly in Parabolic Orbit?

Y Coordinate of Parabolic Trajectory given Parameter of Orbit Example

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

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

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

16952.6042 = 10800 \cdot \frac{\sin (115)}{1 + \cos (115)}

16952.6042km = 10800km \cdot \frac{\sin (115°)}{1 + \cos (115°)}

16952.6042 = 10800 \cdot \frac{\sin (115)}{1 + \cos (115)}

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Y Coordinate of Parabolic Trajectory given Parameter of Orbit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y = 10800km \cdot \frac{\sin (115°)}{1 + \cos (115°)}

Next Step Convert Units

∴

y = 1.1E+7m \cdot \frac{\sin (2.0071rad)}{1 + \cos (2.0071rad)}

Next Step Prepare to Evaluate

∴

y = 1.1E+7 \cdot \frac{\sin (2.0071)}{1 + \cos (2.0071)}

Next Step Evaluate

∴

y = 16952604.2328618m

Next Step Convert to Output's Unit

∴

y = 16952.6042328618km

LAST Step Rounding Answer

∴

y = 16952.6042km

Y Coordinate of Parabolic Trajectory given Parameter of Orbit Formula Elements

Variables

Functions

Y Coordinate Value

Y Coordinate Value is the distance of the object in vertical direction from the origin.

Symbol: y

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Formulas to find Y Coordinate Value

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

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

sin

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.

Syntax: sin(Angle)

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 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 Parameter of Orbit given X Coordinate of Parabolic Trajectory

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

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

Y Coordinate of Parabolic Trajectory given Parameter of Orbit evaluator uses Y Coordinate Value = Parameter of Parabolic Orbit*sin(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit)) to evaluate the Y Coordinate Value, The Y Coordinate of Parabolic Trajectory given Parameter of Orbit formula is defined as the distance of the object in a vertical direction from the origin. Y Coordinate Value is denoted by y symbol.

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

FAQs on Y Coordinate of Parabolic Trajectory given Parameter of Orbit

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

The formula of Y Coordinate of Parabolic Trajectory given Parameter of Orbit is expressed as Y Coordinate Value = Parameter of Parabolic Orbit*sin(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit)). Here is an example- 16.9526 = 10800000*sin(2.0071286397931)/(1+cos(2.0071286397931)).

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

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

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

Yes, the Y Coordinate of Parabolic Trajectory given Parameter of Orbit, measured in Length can be negative.

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

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

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