SKU: 2419139437

Solving Kepler's Equation

Sale price$27.86 Regular price$30.95
Save 10%

Pay in installments of $7.74 with ShopPay, AfterPay and Klarna

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Jul 16 - Jul 21

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 16 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
B
Verified Purchase
Bueno
Bozeman, US
★★★★★ 5
Siempre hacer bien su trabajo
Color: #3 Rose Gold
Me gusto
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 19, 2026
P
Verified Purchase
Placeholder
Natrona Heights, US
★★★★★ 1
Doesn’t sparkle
Color: #2 Sliver
No sparkle glitter way to fine doesn’t show on skin
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 7, 2026
E
Verified Purchase
Emily L. Barnewolt
Louisville, US
★★★★★ 3
Shimmer good smell no
Color: #3 Rose Gold
Smell is meh. I mixed it with body spray. The cap broke first day of use. Love the shimmer though!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 4, 2025
A
Verified Purchase
Amy
Louisville, US
★★★★★ 5
Beautiful and emphasize my tan
Color: #3 Rose Gold
Absolutely love this product. It is perfect for me and had a ton of compliments love that comes in different colors.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on July 18, 2025
J
Verified Purchase
Jeanné Timms
Battle Creek, US
★★★★★ 5
Best budget dupe by far
Color: Gold, Size: 3.38 Fl Oz (Pack of 1)
Love, love, love it. Love the price, love the feel, love the smell. It absorbs fully not greasy at all and leaves just a hint of glow on your skin.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 14, 2026

recommand products