Examples of problem solving with program "CaRevol Jet - The formula calculator of complex numbers"

Calculations with complex numbers.

That the number has become complex before it is necessary to put a sign i. All functions calculator behind an elemination of functions of transformation of angles work with complex numbers. Both degree and logarithmic both hyperbolic and trigonometrical and inverse functions - everyone know how calculate from complex arguments. Example of calculation of a module and argument of a complex number 3+i7.

It was the calculation of a module, and now calculate argument in degrees:

Constants.

All constants have dimensions in a system of a SI (meter, second, kg, ampere, Kelvin degree, gram-molecule, candela). I shall list from left to right top-down.

Calculation of the formulas. An example: the first space speed.

Let’s try calculate the first space speed. Here the formula from a text-book:

Here
R_geo - Radius of a planet. For example Earth [6.37 x 10⁶ m].
g_geo - Accelaration of gravity on a surface of a planet. For example Earth [9.81 m/s²].
g_geo - Is firmware as a constant in the calculator!
h - Orbital altitude above a surface of a planet. Let will be 10km = 10 x 10³.

R_geo Meets twice. To not type twice at first we shall store this number in the previous outcome. And calculation of the formula is possible for one set. So we shall begin:

After fulfilment of calculation [=] the result is stored in PR. Now calculation of the formula:

Result: the first space speed of a injection of an artificial satellite of the Earth on altitude of 10 (kms) for a planet the Earth of 7897,496 (m/s).