How do you calculate satellite slant range?

How do you calculate satellite slant range?

The Math / Science

  1. b = Re + sA.
  2. a = Re + oA.
  3. c is the slant range.
  4. CA is the Earth Central Angle.
  5. BA is the subtended angle (β)
  6. AA is elevation angle (α) + 90°

What is slant range in satellite communication?

The slant range (1) is the hypotenuse of the triangle represented by the altitude of the aircraft and the distance between the radar antenna and the aircraft’s ground track (point (3) on the earth directly below the aircraft).

What is ground range?

ground range In radar terminology, the distance between the nadir and an object.

How do you calculate DME distance?

Distance calculation The distance formula, distance = rate * time, is used by the DME receiver to calculate its distance from the DME ground station. The rate in the calculation is the velocity of the radio pulse, which is the speed of light (roughly 300,000,000 m/s or 186,000 mi/s).

How is ground range resolution calculated?

Ground range resolution (Rr) is the horizontal expression of the slant range resolution (top) and is expressed mathematically as: Rr=cT ÷ 2cos d , where: c = the speed of light (300,000,000 m/s)

How does DME calculate ground speed?

If you’re flying directly “to” or “from” a station, you can determine your ground speed by noting the distance travelled in 36 seconds and multiplying that value by 100. If you’re dme equipped and flying perpendicular to the station, an estimated ground speed can be calculated, but it’s a little more time consuming.

How do you find range and resolution?

Range resolution as a distance can be calculated as follows: Rres = c * τ /2 Where, τ is the transmitted pulse width and c is the velocity of light in the free space. Narrower beamwidth is very useful to distinguish two adjacent targets.

How do you calculate range and spread?

Subtract the minimum from the maximum. This is the range. In the example, 500,000 minus 350,000 equals 150,000. Divide the range by the minimum to find the range spread.

What is the satellite slant range calculator?

Satellite Slant Range Calculator. The slant range is the distance between the two points, from radar to the target. The geocenter is the description of the universe where the earth is in the center. The angle between the horizontal plane and the line of sight is called as elevation angle. Here is the online Satellite Slant Range Calculator…

How do you calculate the distance between a GND and a satellite?

Formula: r = h + B. D = √ [ (B x Cos (ε)) 2 + r 2 – B 2] – (B x Cos (ε)) Where, h = Distance Between GND Station and Satellite. B = Distance Between Geocenter and Ground Station. ε = Elevation Angle. r = Distance Between Geocenter and Satellite. D = Satellite Slant Range.

What is the difference between slant range and Geocenter?

The slant range is the distance between the two points, from radar to the target. The geocenter is the description of the universe where the earth is in the center. The angle between the horizontal plane and the line of sight is called as elevation angle.

What is the formula for the slant range of a triangle?

The formula for the slant range uses both the law of sines and the law of cosines. In the obtuse triangle below: b = Re + sA a = Re + oA