My first holiday in quite some time has just begun. I don’t have any concrete plans for the fortnight, however I do plan to do as much work on CIC as I can while still relaxing. I haven’t had a lot of time recently to work on CIC, and I’ve spent a lot of my time trying to work out an equation for counter-missile interception. I thought I’d post the problem and see if anyone can come up with a solution. As far as I can see, this is a non-trivial problem, and requires quite a complex equation to calculate. My closest attempt so far has me factoring a polynomial equation, which I’m currently reading up on as I haven’t done it since high-school. The problem is described below.<\/p>\n
I have 2 missiles, A and B.
\nMissile A has a current velocity (Va) and direction (Da), a known constant acceleration (Aa) and a known position (Pa).
\nMissile B has a current velocity (Vb), a known maximum constant acceleration (Bb) and known position (Pb).<\/p>\n
What needs to be calculated is the direction to fire B (Db) so that it can accelerate at it’s maximum acceleration and intercept missile A. It can be assume that the current velocity of B is in the direction that will be calculated, to simplify the problem. This equation must be calculated in 3D with the resultant direction having 3 components, x, y and z. I believe there may be multiple results within a solution, it would be best to have all of these results, however the result that is the shortest distance from B would usually be used.<\/p>\n
If anyone has any questions please ask, otherwise please post your answer or email me at adoulin@hotmail.com.<\/p>\n","protected":false},"excerpt":{"rendered":"
My first holiday in quite some time has just begun. I don’t have any concrete plans for the fortnight, however I do plan to do as much work on CIC as I can while still relaxing. I haven’t had a lot of time recently to work on CIC, and I’ve spent a lot of my Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"enabled":false},"version":2}},"categories":[3,6,7],"tags":[],"class_list":["post-22","post","type-post","status-publish","format-standard","hentry","category-cic","category-general","category-personal"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/sgEc5-holiday","_links":{"self":[{"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/posts\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":0,"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/posts\/22\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/media?parent=22"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/categories?post=22"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.doolwind.com\/blog\/wp-json\/wp\/v2\/tags?post=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}