SKU: 2419139437

Solving Kepler's Equation

Sale price$27.86 Regular price$30.95
Save 10%

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Jul 12 - Jul 17

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

Description

Solving Kepler's EquationBy Colwell. Product Information: 6. 00" by 9. 00", 202 pages, hardbound, published 1993. The sole subject of Solving Kepler's Equation work is Kepler's Equation (KE) M = E e sin E . In its narrowest form, the Kepler problem is to solve KE for E , given M in the interval [0,p]and e in the interval [0,1]. In virtually every decade from 1650 to the present there have appeared papers devoted to the Kepler problem and its solution. We can see from a list

By Colwell.

Product Information: 6.00" by 9.00", 202 pages, hardbound, published 1993.

The sole subject of Solving Kepler's Equation work is Kepler's Equation (KE) M = E - e sin E . In its narrowest form, the Kepler problem is to solve KE for E , given M in the interval [0,p]and e in the interval [0,1]. In virtually every decade from 1650 to the present there have appeared papers devoted to the Kepler problem and its solution. We can see from a list of them that the problem has enticed a wide variety of scientists to comment on or involve themselves in its solution.

It is surely not unique in science for a specific problem to be given so much attention over so long a period—particularly if it resists solution, if its partial solutions are inadequate or unsatisfactory, or if it is recharged with new interpretations and new applications. Still, it is curious that the Kepler problem should have continued to be this interesting to so many for so long. Admittedly it is a problem central to celestial mechanics, but it is a technical little problem for which a number of satisfactory solutions are long known. With the advent of calculators and computers, there is no impediment to achieving quick solutions of great accuracy. The problem has neither the broad appeal of an Olbers Paradox, nor the depth and intractability of a many-body problem.

In common with almost any scientific problem which achieves a certain longevity and whose literature exceeds a certain critical mass, the Kepler problem has acquired an undeniable luster and allure for the modern practitioner. Any new technique for the treatment of transcendental equations should be applied to this illustrious test case; any new insight, however slight, lets its conceiver join an eminent list of contributors.

The Kepler problem has been “on the scene” in Western civilization science for over three centuries. To gather its story is to view this science through a narrow-band filter, and our goal is to make the picture at one wavelength instructive and interesting.

The idea to gather all the work on the Kepler problem is not new. Early work was surveyed in Melander,1767, Detmoldt,1798 and Brinkley,1803, and much of the recent work was described in Danby,1983, Burkhardt,1983 and Gooding,1985. In addition, various partial bibliographies have appeared which contain extensive references to the Kepler problem. Perhaps the most cited has been Radau,1900; others are Struve,1860, Houzeau,1882, Herglotz,1910, and Wood,1950.

Our concern will be almost exclusively for the elliptic case of Kepler's problem. What coverage we attempt of the hyperbolic case will appear in Chapter 8 when we look at universal forms of KE, and the parabolic case, e = 1, will be considered in Chapter 5, where treatments for high eccentricity (e near 1) cases are gathered. Related to KE and the Kepler problem is the subject of Lambert's theorem and the Lambert orbital problem. Except for a few bibliography entries, we won't describe this area at all, even though it has an extensive literature and independent interest. The references [Gooding,1988,1990] are to be recommended for a look at the subject.

In the language of the mathematician, there exists a unique solution of the Kepler problem, but there are many methods to describe or approximate it. It isn't feasible to say how many there are: the meaning of ""solution"" depends too much on the solver's motivations. In our classification of references bearing on KE which appear in the Bibliography, we have made seven primary categories and five secondary categories of methods of solution. These have been adequate to describe almost all our references.

Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 2419139437

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.6 ★★★★★
Based on 1252 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
K
Verified Purchase
Kristi D
Natrona Heights, US
★★★★★ 5
Convenient
I bought this long ago and it works well in the kitchen cabinet for organizing my spices that don't fit on the designated shelf. It makes it so much easier to find things and easier to pull them out when needed for cleaning/straightening. I have more of these, in various sizes, to help organize drawers.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 25, 2026
B
Verified Purchase
bunster13
Natrona Heights, US
★★★★★ 5
Great drawer organizer product
Perfect fit for my desk drawer. Helped to tidy up and contain most of my gadgets and keep them close at hand. Love being able to find things when I need them. Very strong and durable.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 5, 2021
C
Verified Purchase
Champagne
Dallas, US
★★★★★ 5
Made well and great for Desk items
Works well in the desk drawer
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 2, 2026
L
Verified Purchase
Lori
San Leandro, US
★★★★★ 5
Well made - great!!
These were great! I'm getting rid of plastic and these replaces what I had in my kitchen drawers to organizer cooking utensils. Perfect fit!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 17, 2026
K
Verified Purchase
Kittie
Lake Worth, US
★★★★★ 5
Perfect Size!
This drawer insert was the perfect size and went well with others I bought a few years ago from the Container Store. Surprisingly, they no longer carry them, so I was super happy to have found this on Amazon!!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 31, 2026

recommand products