{"id":"vidhyamitra:city-day:rishikesh:2175-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2175-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-08-31","date_display":"August 31, 2175 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2175,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515704.770833,"kali_year":5277,"ahargana":1927239.2708,"sun":{"sidereal_longitude":130.2426,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":296.94,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.6974,"elapsed_within_tithi_degrees":10.6974},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.94,"elapsed_within_degrees":3.6067},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.1826},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2175,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515704.770833,"ahargana":1927239.2708,"kali_year":5277,"ayanamsa_lahiri":26.3069,"grahas":{"sun":{"sidereal_longitude":131.34173499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":298.68423499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-0.676},"mars":{"sidereal_longitude":119.69483500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":119.94573500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":291.09503500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"venus":{"sidereal_longitude":83.32133499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":12.256235000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":305.5889,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":125.5889,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2175,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515704.770833,"kali_year":5277,"ahargana":1927239.2708,"sun":{"sidereal_longitude":130.2426,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":296.94,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.6974,"elapsed_within_tithi_degrees":10.6974},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.94,"elapsed_within_degrees":3.6067},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.1826},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.676,"elongation":166.697},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.676,"opposition_distance":13.303}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":0.408,"opposition_distance":0.458}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:53","sunsetLocal":"18:41","solarNoonLocal":"12:17","dayLengthHours":12.808606147365133,"dayLengthDisplay":"12 Hours 48 Mins 31 Secs","nightLengthDisplay":"11 Hours 11 Mins 29 Secs","moonriseLocal":"17:55","moonsetLocal":"04:58","rahuKala":{"name":"Rāhu Kāla","start":"13:53","end":"15:29","startHours":13.880809276364186,"endHours":15.481885044784827,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:53","end":"07:29","startHours":5.875430434260977,"endHours":7.476506202681619,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:05","end":"10:41","startHours":9.07758197110226,"endHours":10.678657739522901,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:17","startHours":8.864105201979509,"endHours":9.291058740225012,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.409122357067858,"endHours":6.750685187664262,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:42","startHours":11.85277996969804,"endHours":12.706687046189048,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:10","end":"05:01","startHours":4.16761628127896,"endHours":5.0215233577699685,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:53","startHours":4.808046588647216,"endHours":5.875430434260977,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:16","startHours":14.414501199171065,"endHours":15.268408275662074,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.48403658162611,"endHours":18.88403658162611,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.68403658162611,"endHours":19.21772850443299,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.43403658162611,"endHours":20.18403658162611,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:42","startHours":23.852779969698037,"endHours":24.70668704618905,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:53","end":"07:29","startHours":5.875430434260977,"endHours":7.476506202681619,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:05","startHours":7.476506202681619,"endHours":9.07758197110226,"quality":"inauspicious"},{"name":"Udveg","start":"09:05","end":"10:41","startHours":9.07758197110226,"endHours":10.678657739522901,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:17","startHours":10.678657739522901,"endHours":12.279733507943543,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:53","startHours":12.279733507943543,"endHours":13.880809276364186,"quality":"auspicious"},{"name":"Amṛta","start":"13:53","end":"15:29","startHours":13.880809276364186,"endHours":15.481885044784827,"quality":"auspicious"},{"name":"Kāla","start":"15:29","end":"17:05","startHours":15.481885044784827,"endHours":17.082960813205467,"quality":"inauspicious"},{"name":"Śubha","start":"17:05","end":"18:41","startHours":17.082960813205467,"endHours":18.68403658162611,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:41","end":"20:05","startHours":18.68403658162611,"endHours":20.082960813205467,"quality":"auspicious"},{"name":"Kāla","start":"20:05","end":"21:29","startHours":20.082960813205467,"endHours":21.481885044784825,"quality":"inauspicious"},{"name":"Śubha","start":"21:29","end":"22:53","startHours":21.481885044784825,"endHours":22.880809276364186,"quality":"auspicious"},{"name":"Roga","start":"22:53","end":"00:17","startHours":22.880809276364186,"endHours":24.279733507943543,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:41","startHours":24.279733507943543,"endHours":25.6786577395229,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:05","startHours":25.6786577395229,"endHours":27.077581971102262,"quality":"neutral"},{"name":"Labha","start":"03:05","end":"04:29","startHours":27.077581971102262,"endHours":28.47650620268162,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:53","startHours":28.47650620268162,"endHours":29.875430434260977,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.875430434260977,"endHours":6.875430434260977,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.875430434260977,"endHours":7.875430434260977,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.875430434260977,"endHours":8.875430434260977,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.875430434260977,"endHours":9.875430434260977,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.875430434260977,"endHours":10.875430434260977,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.875430434260977,"endHours":11.875430434260977,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.875430434260977,"endHours":12.875430434260977,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.875430434260977,"endHours":13.875430434260977,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.875430434260977,"endHours":14.875430434260977,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.875430434260977,"endHours":15.875430434260977,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.875430434260977,"endHours":16.875430434260977,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.875430434260977,"endHours":17.875430434260977,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.875430434260977,"endHours":18.875430434260977,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.875430434260977,"endHours":19.875430434260977,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.875430434260977,"endHours":20.875430434260977,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.875430434260977,"endHours":21.875430434260977,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.875430434260977,"endHours":22.875430434260977,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.875430434260977,"endHours":23.875430434260977,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.875430434260977,"endHours":24.875430434260977,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.875430434260977,"endHours":25.875430434260977,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.875430434260977,"endHours":26.875430434260977,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.875430434260977,"endHours":27.875430434260977,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.875430434260977,"endHours":28.875430434260977,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.875430434260977,"endHours":29.875430434260977,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.699481026047843,"eotMinutes":0.14558952338733633,"ayanamsa":26.3069}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturdaśī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 31, 2175 CE · Ṛṣikeśa · Vidhyamitra","description":"August 31, 2175 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 05:53, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2175-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2175-08-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2175-08-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2175-08-31","x-default":"https://vidhyamitra.com/city/rishikesh/2175-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T19:38:19.683Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-29T19:38:19.683Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T19:38:19.683Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}