How to plot and create a Gravity-Altitude graph?

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John Michael Corpuz
评论： KSSV 2021-3-19
I have been tasked to create or make a gravitational force-altitude graph from the surface to the top of the atmosphere. However, I am confused and I do not know how to start it because I don't have anything yet aside from the essential variables to be used such as the equation to get the gravity at any latitude, the equatorial radius, and other needed constant variables and a code (acquired from Google) that seemingly fails. Can anyone help me start?
By the way, this is the code:
function [ g ] = Gravity( z )
% this function used to get g at any altitude
%% inputs:
% z : the altitude above the earth (km)
%% outputs:
% g : the gravity at altitude z
g0 = 9.81; % m/s
Re = 6378; % km
g = g0*Re^2/(Re+z)^2; % m/s^2
end

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回答（1 个）

KSSV
KSSV 2021-3-19
You need to input z values....Do you have those values along with lat, lon?
You may check the below example with dummy data.
clc; clear all ;
x = -10:1:10 ; nx = length(x) ; % lat
y = -10:1:10 ; ny = length(y) ; % lon
[X,Y] = meshgrid(x,y) ; % mesh
z = randi(1000,ny,nx) ; % random altitudes within 1000 units
% this function used to get g at any altitude
%% inputs:
% z : the altitude above the earth (km)
%% outputs:
% g : the gravity at altitude z
g0 = 9.81; % m/s
Re = 6378; % km
g = g0*Re^2./(Re+z).^2; % m/s^2
surf(X,Y,g)
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