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Asked: 2026-05-23T12:05:35+00:00

I’m trying to manipulate an object. When it gets near another object, let’s say

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I’m trying to manipulate an object. When it gets near another object, let’s say a globe, I want the globe to have a gravitational pull on the original object. I know I’m supposed to use CCBezierTo, so this isn’t so much a programming question as it is a math question.

Mathematically, how could I figure out the three points of the bezier curve (1, 2, and end) and give it a weight depending on its distance (further away = less pull). I already have the distance mapped out in a variable.

Think of a spaceship slingshotting around the moon.

Code:

ccBezierConfig bezier;
bezier.controlPoint_1 = ccp(projectile.position.x + 10, projectile.position.y + 20);
bezier.controlPoint_2 = ccp(projectile.position.x + 20, projectile.position.y + 40);
bezier.endPosition = ccp(projectile.position.x + 30, projectile.position.y+60);
id bezierAction = [CCBezierTo actionWithDuration:1 bezier:bezier];
[projectile stopAllActions];
[projectile runAction: bezierAction];
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1 Answer

  1. Editorial Team

    The trajectory would be a conic section (line, hyperbola, parabola, ellipse or circle).

    You can represent those as a rational Bezier curve.
    http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/NURBS/RB-conics.html
    and
    http://www.cs.unc.edu/~dm/UNC/COMP236/papers/farin.pdf.

    If you insist on using quadratic Bezier sections, I would use a function like this
    http://www.netlib.org/minpack/lmder.f to find optimal positions of control points
    by least-squares minimization.

    I think it would be easiest if you just calculate the conic sections and draw them as line loops.

    Or you implement a verlet integrator and solve the equations of motions.

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