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Hi, ajubb - think I re-posted the missing file in post #13 above. If this doesn't work, let me know.

Hi, Biagio - wrt to the missing Excel file, I've attached two Excel files as .zip files. These are variations of the optimisation scheme intended for an 'outer' and 'inner' transfer (if I recall correctly). Both should work - but you will have to experiment to see which of the two meets your...

Here are a couple of useful equations: \begin{aligned} v_a &= \sqrt{\frac{r_p}{r_a}\,\frac{2\,\mu}{r_a + r_p}} \\ v_p &= \sqrt{\frac{r_a}{r_p}\,\frac{2\,\mu}{r_a + r_p}} \\ \end{aligned} Now, let’s suppose that one executes a prograde burn at apoapsis of magnitude \delta V; and let’s suppose...

Yes, that’s about the size of it.

Sigh Enough of this, methinks. Over the years, I’ve read too many differing views of what Einstein actually thought, what Minkowski actually proved, and assorted claims of resolution of the Twin Paradox. You clearly have your views of the universal validity of the Clock Hypothesis. I have my...

Sure - enjoy.

The use of special relativity to address question relating to accelerating reference frames relies on the Clock Hypothesis - namely that “when a clock is accelerated the effects of the motion on the rate of the clock is no more that associated with its instantaneous velocity - the acceleration...

My suggestion remains to treat this subject with a degree of caution. In the realm of special relativity, one needs to consider the problematic issue of clock synchronisation. In the specific theory, Einstein proposed an explicit synchronisation procedure for clocks in different inertial...

I would be a little careful when combining accelerations with special relativity. Special relativity is built around the notion of inertial (i.e., non-accelerating) reference frames and it is an ongoing topic of debate as to whether (or how) accelerations should be accommodated within the...

Hi, Rock_Doc I think the attached is the missing file. Let me know if you have any issues. Regards Mont B

What sort of transfer orbits do you want to calculate?

Pantanplan: OK, I’ve located the deleted dropbox file. I’ll send to you via PM. P.S. If in the future any one else needs this file, let me know and I will send to you.

Pantanplan: sorry for the slow response - but, of late, I only check in here at O-F once a month or so. I will have a search through my files and see if I can resurrect the spreadsheet.

The short answer is: yes. However, a bunch of more practical issues (associated with macro-economic concerns and, of course, COVID-19) have stolen much of my attention for the last year or so. At some point, I'm sure, I'll find the time to focus on all things Lissajous once again. Regards

Hi, ShoorDrag Sorry, I don't maintain a webpage or github repository. If I recall, I generated the stable manifold trajectory example using a time reversal trick: let's suppose you that you know the centre-manifold trajectory (e.g.,, by using the L-P expansion scheme as discussed above.)...

Hi, ShootDrag I've attached my Mathematica notebook. This has been added with a '.txt' suffix rather that a '.nb' notebook suffix in order to 'fool' this forum's file uploading service. I suggest that after downloading, you change the file extension back to '.nb' from '.txt'. This notebook...

Hi, ShootDrag Not sure what your level of mathematical background is - but the basic scheme I used as a starting point was the paper: "High-order solutions of invariant manifolds associated with libration point orbits in the elliptic restricted three-body system". I've attached a copy of this...

Yes, this is the correct expression for the relative inclination.

I thought I might chip into this discussion. I've recently bought a Raspberry Pi 4 - 4 GB RAM, quad core ARM processor; 1.5 GHz. It has one Gigabit Ethernet port; two USB-3 ports; two USB-two ports; one USB-C port; wifi; bluetooth. The operating card is, by default, confined to an micro-SD...

I don't have a recommended textbook, but here's my potted version of Calculus of Variations: Let's suppose that you have a function that is written as the integral: S = \int_a^b L\left(y(x), y'(x)\right)\,dx This reads as 'the integral (over x) of some function, L, that is itself a function...