Mixing
Motion in central orbits
$begingroup$
A particle moves in a plane under inverse square law towards a fixed point.The point is surrounded by a gas,which revolves about it in such a way that the velocity of the gas at any point is inversely proportional to square root of radius vector at right angles to the radius vector.The resistance of the medium produces on the particle a retardation equal to k times the velocity of the particle relative to the medium in its neighbourhood,where k is a constant.Find the equations of motion and if the particle is slightly disturbed from motion in a circle,then find the expression for radius vector in the subsequent motion.
classical-mechanics fluid-dynamics
asked Sep 16 '18 at 6:10
user463280user463280
213
$endgroup$
add a comment |
$begingroup$
A particle moves in a plane under inverse square law towards a fixed point.The point is surrounded by a gas,which revolves about it in such a way that the velocity of the gas at any point is inversely proportional to square root of radius vector at right angles to the radius vector.The resistance of the medium produces on the particle a retardation equal to k times the velocity of the particle relative to the medium in its neighbourhood,where k is a constant.Find the equations of motion and if the particle is slightly disturbed from motion in a circle,then find the expression for radius vector in the subsequent motion.
classical-mechanics fluid-dynamics
asked Sep 16 '18 at 6:10
user463280user463280
213
$endgroup$
$begingroup$
I am shocked that no one answered it.I badly needed it.
$endgroup$
– user463280
Sep 19 '18 at 13:07
$begingroup$
If there no is no one to address this problem?
$endgroup$
– user463280
Sep 24 '18 at 7:12
$begingroup$
I am very disappointed.
$endgroup$
– user463280
Oct 1 '18 at 16:08
add a comment |
$begingroup$
A particle moves in a plane under inverse square law towards a fixed point.The point is surrounded by a gas,which revolves about it in such a way that the velocity of the gas at any point is inversely proportional to square root of radius vector at right angles to the radius vector.The resistance of the medium produces on the particle a retardation equal to k times the velocity of the particle relative to the medium in its neighbourhood,where k is a constant.Find the equations of motion and if the particle is slightly disturbed from motion in a circle,then find the expression for radius vector in the subsequent motion.
classical-mechanics fluid-dynamics
asked Sep 16 '18 at 6:10
user463280user463280
213
$endgroup$
A particle moves in a plane under inverse square law towards a fixed point.The point is surrounded by a gas,which revolves about it in such a way that the velocity of the gas at any point is inversely proportional to square root of radius vector at right angles to the radius vector.The resistance of the medium produces on the particle a retardation equal to k times the velocity of the particle relative to the medium in its neighbourhood,where k is a constant.Find the equations of motion and if the particle is slightly disturbed from motion in a circle,then find the expression for radius vector in the subsequent motion.
classical-mechanics fluid-dynamics
classical-mechanics fluid-dynamics
asked Sep 16 '18 at 6:10
user463280user463280
213
asked Sep 16 '18 at 6:10
user463280user463280
213
edited Sep 18 '18 at 10:35
user463280
asked Sep 16 '18 at 6:10
user463280user463280
213
asked Sep 16 '18 at 6:10
user463280user463280
213
asked Sep 16 '18 at 6:10
user463280user463280
213
213
$begingroup$
I am shocked that no one answered it.I badly needed it.
$endgroup$
– user463280
Sep 19 '18 at 13:07
$begingroup$
If there no is no one to address this problem?
$endgroup$
– user463280
Sep 24 '18 at 7:12
$begingroup$
I am very disappointed.
$endgroup$
– user463280
Oct 1 '18 at 16:08
add a comment |
$begingroup$
I am shocked that no one answered it.I badly needed it.
$endgroup$
– user463280
Sep 19 '18 at 13:07
$begingroup$
If there no is no one to address this problem?
$endgroup$
– user463280
Sep 24 '18 at 7:12
$begingroup$
I am very disappointed.
$endgroup$
– user463280
Oct 1 '18 at 16:08
$begingroup$
I am shocked that no one answered it.I badly needed it.
$endgroup$
– user463280
Sep 19 '18 at 13:07
$begingroup$
I am shocked that no one answered it.I badly needed it.
$endgroup$
– user463280
Sep 19 '18 at 13:07
$begingroup$
If there no is no one to address this problem?
$endgroup$
– user463280
Sep 24 '18 at 7:12
$begingroup$
If there no is no one to address this problem?
$endgroup$
– user463280
Sep 24 '18 at 7:12
$begingroup$
I am very disappointed.
$endgroup$
– user463280
Oct 1 '18 at 16:08
$begingroup$
I am very disappointed.
$endgroup$
– user463280
Oct 1 '18 at 16:08
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2918688%2fmotion-in-central-orbits%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2918688%2fmotion-in-central-orbits%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
I am shocked that no one answered it.I badly needed it.
$endgroup$
– user463280
Sep 19 '18 at 13:07
$begingroup$
If there no is no one to address this problem?
$endgroup$
– user463280
Sep 24 '18 at 7:12
$begingroup$
I am very disappointed.
$endgroup$
– user463280
Oct 1 '18 at 16:08