They may also be prepared to spruke a bit but so what, IMO they're entitled.
Quote from: mr. mark on 04/24/2012 02:22 amMaybe ULA's comment should read, who's going to the ISS in the next few weeks...not us.The knives are out for SpaceX...Cesar had it better. The ULA comment are justified.
Maybe ULA's comment should read, who's going to the ISS in the next few weeks...not us.The knives are out for SpaceX...Cesar had it better.
Quote from: Jim on 04/24/2012 02:34 amQuote from: mr. mark on 04/24/2012 02:22 amMaybe ULA's comment should read, who's going to the ISS in the next few weeks...not us.The knives are out for SpaceX...Cesar had it better. The ULA comment are justified. Are you saying the ULA "Who's ready for a launch" comment was deffinitly aimed at SpaceX?
Thanks Chris. I guess I was curious because of the Pratt and Whitney Rocketdyne adds which seem to be aimed at SpaceX, rightly or wrongly.
Quote from: oiorionsbelt on 04/24/2012 04:28 amThanks Chris. I guess I was curious because of the Pratt and Whitney Rocketdyne adds which seem to be aimed at SpaceX, rightly or wrongly.Those Futurespace fun people. Yeah, they always retweet my articles, but they advertise on all the other sites. Imagine how well that went down at Chris HQ!
OK. So if I get this right, when Dragon is momentarily motionless in this ISS-centered frame, and is in a co-planar orbit directly below ISS, z is positive and thus z-double-dot is positive and thus if the Dragon were in free drift it would accelerate down towards the Earth? That makes sense since its angular velocity is matching that of ISS in its higher (slower) orbit. So Dragon at that moment is at the apogee of an elliptical orbit.
To hold in the ISS frame Dragon will thus thrust directly upwards towards ISS. And if Dragon thrusters could provide exactly the right amount of thrust the vehicle could hold its position without thrusting at all along the x (Vbar) axis? So that's the ideal (minimum) amount of thrust required. And it grows only linearly with z?
But looking at the CW equation for x (which I think is x-double-dot = -2*n*z-dot), if any net acceleration along the Rbar is experienced, then z-dot becomes non-zero and there is acceleration along the Vbar. And things get really whacky, and Dragon better have a darn good control system deciding which way to thrust to get back to the hold point, or it could consume plenty of propellant in the process!
z-double-dot = 3*n^2*zwhere n is the mean motion (orbital rate), about 0.0011 rad/sec for ISS orbit.
Quote from: Jorge on 04/22/2012 07:36 amz-double-dot = 3*n^2*zwhere n is the mean motion (orbital rate), about 0.0011 rad/sec for ISS orbit.So Dragon holding at 250m seems to require a minimum of 0.0009 m/s/s, or 3.3 m/s of delta-v per hour of hold time. Out at the 1.4km point, remaining stationary requires 18 m/s per hour; in at the 30m hold point, only 0.4 m/s per hour.It seems heading directly up the Rbar at a constant rate requires a constant thrust along the Vbar to stay on track, because without thrust CW says:x-double-dot = -2*n*z-dot
Countering that doesn't require much delta-v; if Dragon is closing at a z-dot of 1 m/s the Vbar acceleration needed is only 0.0022 m/s/s or 0.55 m/s total for the entire 250 second trip.Has SpaceX or NASA said whether Dragon will maintain a fixed attitude during the approach? Conceivably they could get the right amount of thrusting along each axis using only one set of thrusters, rotating the spacecraft as it approaches....
What's the reason that the station rotates anyway? Why not stay fixed to the sun so the arrays don't have to track. Docking is harder.
And doesn't the acceleration mess with experiments? What's the benefit?
Quote from: jabe on 04/22/2012 01:41 pmQuote from: Jorge on 04/22/2012 07:36 amQuote from: sdsds on 04/22/2012 06:37 amWhat's the best approach to calculating the delta-v per second consumed by Dragon as it holds position a fixed distance below the station on the r-bar? Clohessy-Wiltshire equations. If using the NASA LVLH frame (Rbar = z axis), take the z equation, set x-dot to zero, and solve for z-double-dot as a function of z:z-double-dot = 3*n^2*zwhere n is the mean motion (orbital rate), about 0.0011 rad/sec for ISS orbit.Note that for most spacecraft, including Dragon, the same delta-v in different axes may result in different propellant consumption due to the different canting of RCS thrusters.I was thinking of the same question. anda FABULOUS answer... A quick question, I'm assuming x the distance to the station? jbNot in the frame I'm using (NASA LVLH frame). This frame is described as follows:Origin - center of mass of target (ISS)+z - points toward center of Earth (+Rbar)+y - points out-of-plane "starboard", opposite the angular momentum vector (-Hbar)+x - completes a right-handed system, points in the direction of the velocity vector (+Vbar)And of course, dot means velocity and double-dot means acceleration.
Quote from: Jorge on 04/22/2012 07:36 amQuote from: sdsds on 04/22/2012 06:37 amWhat's the best approach to calculating the delta-v per second consumed by Dragon as it holds position a fixed distance below the station on the r-bar? Clohessy-Wiltshire equations. If using the NASA LVLH frame (Rbar = z axis), take the z equation, set x-dot to zero, and solve for z-double-dot as a function of z:z-double-dot = 3*n^2*zwhere n is the mean motion (orbital rate), about 0.0011 rad/sec for ISS orbit.Note that for most spacecraft, including Dragon, the same delta-v in different axes may result in different propellant consumption due to the different canting of RCS thrusters.I was thinking of the same question. anda FABULOUS answer... A quick question, I'm assuming x the distance to the station? jb
Quote from: sdsds on 04/22/2012 06:37 amWhat's the best approach to calculating the delta-v per second consumed by Dragon as it holds position a fixed distance below the station on the r-bar? Clohessy-Wiltshire equations. If using the NASA LVLH frame (Rbar = z axis), take the z equation, set x-dot to zero, and solve for z-double-dot as a function of z:z-double-dot = 3*n^2*zwhere n is the mean motion (orbital rate), about 0.0011 rad/sec for ISS orbit.Note that for most spacecraft, including Dragon, the same delta-v in different axes may result in different propellant consumption due to the different canting of RCS thrusters.
What's the best approach to calculating the delta-v per second consumed by Dragon as it holds position a fixed distance below the station on the r-bar?
OK, time for a fun application of these principles to a literary SF example. Moving OT, obviously. I'm flagging this post so the mods can move this subthread appropriately. Not sure where it will end up.
Quote from: Norm38 on 04/23/2012 04:13 amWhat's the reason that the station rotates anyway? Why not stay fixed to the sun so the arrays don't have to track. Docking is harder. And doesn't the acceleration mess with experiments? What's the benefit?...neglecting coriolis forces, there still ought to be a zero-gravity point somewhere on the station (where the "artificial gravity" of spinning slowly cancels out the fact that not all points on the station are at the center-of-gravity (or equivalent).
What's the reason that the station rotates anyway? Why not stay fixed to the sun so the arrays don't have to track. Docking is harder. And doesn't the acceleration mess with experiments? What's the benefit?
OK, time for a fun application of these principles to a literary SF example. Moving OT, obviously. I'm flagging this post so the mods can move this subthread appropriately. Not sure where it will end up.Reading assignment: "The Integral Trees" by Larry Niven.Homework questions:1a) Relate the cardinal directions of the Treedwellers to the axes of the NASA LVLH frame described above. Use the diagrams at the front of the book for reference. b) What is the origin of the frame, from the perspective of the Treedwellers?2a) Relate the lines of the Treedwellers' saying:East takes you out.Out takes you west.West takes you in.In takes you east.Port and starboard bring you back.to the terms of the C-W equations (attached). 2b) Which term in the C-W equations is not accounted for in the saying? 2c) What force in the Treedwellers' daily experience is represented by the "missing" term? 2d) Why do you think the missing term is not included in the saying?3) (extra credit) Compare and contrast the dynamics of the integral trees with the severed tether from TSS-1R on STS-75. In particular, what force accounts for the different behavior of the "inward" tuft of the Trees compared to the inward end of the severed tether?Homework answers due Friday 1700 CDT (I'm feeling generous).
Crap. I read that book sometime fairly early in high school, way before I'd had enough math to appreciate it, and I didn't like it nearly as much as the RINGWORLD books. And since then, I've had the math and then had 20+ years to forget it. I'm gonna get some popcorn and wait for the answers.
Quote from: Jorge on 04/25/2012 05:09 amOK, time for a fun application of these principles to a literary SF example. Moving OT, obviously. I'm flagging this post so the mods can move this subthread appropriately. Not sure where it will end up.Reading assignment: "The Integral Trees" by Larry Niven.Homework questions:1a) Relate the cardinal directions of the Treedwellers to the axes of the NASA LVLH frame described above. Use the diagrams at the front of the book for reference. b) What is the origin of the frame, from the perspective of the Treedwellers?2a) Relate the lines of the Treedwellers' saying:East takes you out.Out takes you west.West takes you in.In takes you east.Port and starboard bring you back.to the terms of the C-W equations (attached). 2b) Which term in the C-W equations is not accounted for in the saying? 2c) What force in the Treedwellers' daily experience is represented by the "missing" term? 2d) Why do you think the missing term is not included in the saying?3) (extra credit) Compare and contrast the dynamics of the integral trees with the severed tether from TSS-1R on STS-75. In particular, what force accounts for the different behavior of the "inward" tuft of the Trees compared to the inward end of the severed tether?Homework answers due Friday 1700 CDT (I'm feeling generous).Crap. I read that book sometime fairly early in high school, way before I'd had enough math to appreciate it, and I didn't like it nearly as much as the RINGWORLD books. And since then, I've had the math and then had 20+ years to forget it. I'm gonna get some popcorn and wait for the answers.
Some good views of the Dragon CCP (Crew Command Panel) near the Lab RWS.http://www.spaceflight.nasa.gov/gallery/images/station/crew-30/html/iss030e250643.htmlhttp://www.spaceflight.nasa.gov/gallery/images/station/crew-30/html/iss030e250651.html