Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385686942> ?p ?o ?g. }
- W4385686942 endingPage "101309" @default.
- W4385686942 startingPage "101309" @default.
- W4385686942 abstract "This article proposes an analytical solution for the Emden–Chandrasekhar equation (ECE) that model polytropic stellar structure in astrophysics. The mathematical approach is based on the Hybrid Analytical and Numerical (HAN). The most remarkable feature of this problem is that the ECE has no known explicit analytic solution despite all this time and effort. The existing explicit solutions were valid when describing the star’s core, where the temperature is approximately constant. The HAN-method can provide an explicit analytical solution for the ECE. Unlike other solutions that only provide an exact solution near the center of the star, the HAN-method can obtain an explicit analytical solution for all points of the star. The density, mass, and pressure functions of the star due to the solution of the ECE are constructed. In addition, the dimensionless constant α, which we have named “the fundamental constant of the stellar structures,” has appeared in most of the equations of the theory of stellar structures. This constant is calculated as α=0.1719381834. The average temperature of the Sun is obtained at 1.0305257597×107K due to the temperature function considering the Sun as an isothermal gas sphere. The mass, density, and pressure of the Sun at different radii from the center of the Sun to its surface are shown in a Table. The validity of the HAN-method solution is proven compared to other solutions that have been published before. These values are consistent with the values obtained from experimental models to describe the dynamics of the Sun." @default.
- W4385686942 created "2023-08-10" @default.
- W4385686942 creator A5000678776 @default.
- W4385686942 creator A5017742295 @default.
- W4385686942 creator A5042236340 @default.
- W4385686942 creator A5059880846 @default.
- W4385686942 creator A5073994824 @default.
- W4385686942 creator A5092793781 @default.
- W4385686942 date "2023-12-01" @default.
- W4385686942 modified "2023-10-14" @default.
- W4385686942 title "An exact analytical solution of the Emden–Chandrasekhar equation for self-gravitating isothermal gas spheres in the theory of stellar structures" @default.
- W4385686942 cites W1963481762 @default.
- W4385686942 cites W1966036369 @default.
- W4385686942 cites W1988033854 @default.
- W4385686942 cites W1988951561 @default.
- W4385686942 cites W1992643075 @default.
- W4385686942 cites W1998969859 @default.
- W4385686942 cites W2008556925 @default.
- W4385686942 cites W2009467645 @default.
- W4385686942 cites W2015920164 @default.
- W4385686942 cites W2020855836 @default.
- W4385686942 cites W2022861208 @default.
- W4385686942 cites W2028789925 @default.
- W4385686942 cites W2030661397 @default.
- W4385686942 cites W2031702341 @default.
- W4385686942 cites W2034094163 @default.
- W4385686942 cites W2036411406 @default.
- W4385686942 cites W2040216002 @default.
- W4385686942 cites W2040285585 @default.
- W4385686942 cites W2050895029 @default.
- W4385686942 cites W2051250898 @default.
- W4385686942 cites W2052295861 @default.
- W4385686942 cites W2053557784 @default.
- W4385686942 cites W2060514731 @default.
- W4385686942 cites W2061336203 @default.
- W4385686942 cites W2062911420 @default.
- W4385686942 cites W2063110296 @default.
- W4385686942 cites W2075063610 @default.
- W4385686942 cites W2093838575 @default.
- W4385686942 cites W2114351830 @default.
- W4385686942 cites W2119017064 @default.
- W4385686942 cites W2122175906 @default.
- W4385686942 cites W2155559562 @default.
- W4385686942 cites W2166851308 @default.
- W4385686942 cites W2317731414 @default.
- W4385686942 cites W2739709135 @default.
- W4385686942 cites W2776780344 @default.
- W4385686942 cites W2791760820 @default.
- W4385686942 cites W2889474438 @default.
- W4385686942 cites W2947112136 @default.
- W4385686942 cites W2951328368 @default.
- W4385686942 cites W3022851413 @default.
- W4385686942 cites W3099459923 @default.
- W4385686942 cites W3106296080 @default.
- W4385686942 cites W4293723941 @default.
- W4385686942 cites W4308743068 @default.
- W4385686942 cites W4319072715 @default.
- W4385686942 cites W4362717647 @default.
- W4385686942 cites W4381549523 @default.
- W4385686942 doi "https://doi.org/10.1016/j.dark.2023.101309" @default.
- W4385686942 hasPublicationYear "2023" @default.
- W4385686942 type Work @default.
- W4385686942 citedByCount "0" @default.
- W4385686942 crossrefType "journal-article" @default.
- W4385686942 hasAuthorship W4385686942A5000678776 @default.
- W4385686942 hasAuthorship W4385686942A5017742295 @default.
- W4385686942 hasAuthorship W4385686942A5042236340 @default.
- W4385686942 hasAuthorship W4385686942A5059880846 @default.
- W4385686942 hasAuthorship W4385686942A5073994824 @default.
- W4385686942 hasAuthorship W4385686942A5092793781 @default.
- W4385686942 hasConcept C110472602 @default.
- W4385686942 hasConcept C121332964 @default.
- W4385686942 hasConcept C133347239 @default.
- W4385686942 hasConcept C137650753 @default.
- W4385686942 hasConcept C142475440 @default.
- W4385686942 hasConcept C150846664 @default.
- W4385686942 hasConcept C197445014 @default.
- W4385686942 hasConcept C199360897 @default.
- W4385686942 hasConcept C24872484 @default.
- W4385686942 hasConcept C2777027219 @default.
- W4385686942 hasConcept C2779408389 @default.
- W4385686942 hasConcept C37914503 @default.
- W4385686942 hasConcept C41008148 @default.
- W4385686942 hasConcept C44870925 @default.
- W4385686942 hasConcept C520416788 @default.
- W4385686942 hasConcept C53810900 @default.
- W4385686942 hasConcept C62520636 @default.
- W4385686942 hasConcept C67576285 @default.
- W4385686942 hasConcept C74650414 @default.
- W4385686942 hasConcept C97355855 @default.
- W4385686942 hasConceptScore W4385686942C110472602 @default.
- W4385686942 hasConceptScore W4385686942C121332964 @default.
- W4385686942 hasConceptScore W4385686942C133347239 @default.
- W4385686942 hasConceptScore W4385686942C137650753 @default.
- W4385686942 hasConceptScore W4385686942C142475440 @default.
- W4385686942 hasConceptScore W4385686942C150846664 @default.
- W4385686942 hasConceptScore W4385686942C197445014 @default.
- W4385686942 hasConceptScore W4385686942C199360897 @default.