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History

John M. Penn f9c0b16451 More heading fixes in various README.md files		2017-05-11 17:44:43 -05:00
..
images	Consolidate all of the Cannon sims into one directory. refs #191	2016-02-23 11:44:18 -06:00
Modified_data	Consolidate all of the Cannon sims into one directory. refs #191	2016-02-23 11:44:18 -06:00
RUN_graphics	Update SIM_cannon_analytic and add ability to launch new graphics client. Ref #320	2016-10-19 17:39:47 -05:00
RUN_test	Update SIM_cannon_analytic and add ability to launch new graphics client. Ref #320	2016-10-19 17:39:47 -05:00
README.md	More heading fixes in various README.md files	2017-05-11 17:44:43 -05:00
S_define	Organize model functions and prototypes. Refs #338	2016-11-17 16:04:07 -06:00
S_overrides.mk	Consolidate all of the Cannon sims into one directory. refs #191	2016-02-23 11:44:18 -06:00

README.md

SIM_cannon_analytic

This is first of eight Trick-based simulations that one builds in the Trick Tutorial (Section 3). It's purpose is to introduce some of the fundamentals of building a Trick simulation.

Here we simulate the flight of a cannon ball. We want to know the position and velocity of the cannon ball over time, given an initial position, and velocity, and subject to the following assumptions and limitations:

The only force acting on the cannon ball is gravity.
The acceleration of gravity (g) is constant and equal to -9.81 meters per second squared.
The surface of the ground is defined as where y=0.

Solution

This problem has a closed-form solution, so that's what is used.

$v_{y}(t) = gt +v_{y0}$

The cannon ball will impact the ground, when y(t)=0 at:

CANNON Object

Model Variable	Simulation Variable	Type	Units
,	CANNON.pos0[2]	double[2]	m
,	CANNON.vel0[2]	double[2]	m/s
$\theta$	CANNON.init_angle	double	r
	CANNON.init_speed	double	m/s
$\vec{x}$	CANNON.pos[2]	double[2]	m
$\vec{v}$	CANNON.vel[2]	double[2]	m/s