{"id":"vidhyamitra:city-day:rishikesh:1931-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1931-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1931-10-15","date_display":"October 15, 1931 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":1931,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426629.770833,"kali_year":5033,"ahargana":1838164.2708,"sun":{"sidereal_longitude":177.2527,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":223.7947,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.5419,"elapsed_within_tithi_degrees":10.5419},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":223.7947,"elapsed_within_degrees":10.4613},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.0474},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":1931,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2426629.770833,"ahargana":1838164.2708,"kali_year":5033,"ayanamsa_lahiri":22.9001,"grahas":{"sun":{"sidereal_longitude":177.82205499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":226.18165499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-3.8392},"mars":{"sidereal_longitude":207.035755,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":176.09105499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":115.71155499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":188.55395499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":264.615055,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":345.2111,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":165.2111,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1931,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426629.770833,"kali_year":5033,"ahargana":1838164.2708,"sun":{"sidereal_longitude":177.2527,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":223.7947,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.5419,"elapsed_within_tithi_degrees":10.5419},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":223.7947,"elapsed_within_degrees":10.4613},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.0474},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.839,"elongation":46.542},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.839,"opposition_distance":133.458}},"eclipse_window_40days":[]},"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":"06:17","sunsetLocal":"17:47","solarNoonLocal":"12:02","dayLengthHours":11.50013466943622,"dayLengthDisplay":"11 Hours 30 Mins 00 Secs","nightLengthDisplay":"12 Hours 30 Mins 00 Secs","moonriseLocal":"10:06","moonsetLocal":"20:25","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"14:55","startHours":13.472062994157728,"endHours":14.909579827837256,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:17","end":"07:43","startHours":6.284478825760091,"endHours":7.721995659439619,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:10","end":"10:36","startHours":9.159512493119147,"endHours":10.597029326798673,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.967843581961876,"endHours":9.351181404276417,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:04","startHours":6.763651103653268,"endHours":7.0703213615049005,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.65120833816366,"endHours":12.417883982792741,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.7511275365019285,"endHours":5.51780318113101,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.32613426997374,"endHours":6.284478825760091,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.951235272050905,"endHours":14.717910916679987,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.58461349519631,"endHours":17.98461349519631,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:16","startHours":17.78461349519631,"endHours":18.263785773089488,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.53461349519631,"endHours":19.28461349519631,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.65120833816366,"endHours":24.41788398279274,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:17","end":"07:43","startHours":6.284478825760091,"endHours":7.721995659439619,"quality":"auspicious"},{"name":"Roga","start":"07:43","end":"09:10","startHours":7.721995659439619,"endHours":9.159512493119147,"quality":"inauspicious"},{"name":"Udveg","start":"09:10","end":"10:36","startHours":9.159512493119147,"endHours":10.597029326798673,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:02","startHours":10.597029326798673,"endHours":12.0345461604782,"quality":"neutral"},{"name":"Labha","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.472062994157728,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"14:55","startHours":13.472062994157728,"endHours":14.909579827837256,"quality":"auspicious"},{"name":"Kāla","start":"14:55","end":"16:21","startHours":14.909579827837256,"endHours":16.347096661516783,"quality":"inauspicious"},{"name":"Śubha","start":"16:21","end":"17:47","startHours":16.347096661516783,"endHours":17.78461349519631,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:21","startHours":17.78461349519631,"endHours":19.347096661516783,"quality":"auspicious"},{"name":"Kāla","start":"19:21","end":"20:55","startHours":19.347096661516783,"endHours":20.909579827837256,"quality":"inauspicious"},{"name":"Śubha","start":"20:55","end":"22:28","startHours":20.909579827837256,"endHours":22.472062994157728,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"00:02","startHours":22.472062994157728,"endHours":24.0345461604782,"quality":"inauspicious"},{"name":"Udveg","start":"00:02","end":"01:36","startHours":24.0345461604782,"endHours":25.597029326798673,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:10","startHours":25.597029326798673,"endHours":27.159512493119145,"quality":"neutral"},{"name":"Labha","start":"03:10","end":"04:43","startHours":27.159512493119145,"endHours":28.72199565943962,"quality":"auspicious"},{"name":"Amṛta","start":"04:43","end":"06:17","startHours":28.72199565943962,"endHours":30.28447882576009,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.284478825760091,"endHours":7.284478825760091,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.284478825760091,"endHours":8.284478825760091,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.284478825760091,"endHours":9.284478825760091,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.284478825760091,"endHours":10.284478825760091,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.284478825760091,"endHours":11.284478825760091,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.284478825760091,"endHours":12.284478825760091,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.284478825760091,"endHours":13.284478825760091,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.284478825760091,"endHours":14.284478825760091,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.284478825760091,"endHours":15.284478825760091,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.284478825760091,"endHours":16.28447882576009,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.28447882576009,"endHours":17.28447882576009,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.28447882576009,"endHours":18.28447882576009,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.28447882576009,"endHours":19.28447882576009,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.28447882576009,"endHours":20.28447882576009,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.28447882576009,"endHours":21.28447882576009,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.28447882576009,"endHours":22.28447882576009,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.28447882576009,"endHours":23.28447882576009,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.28447882576009,"endHours":24.28447882576009,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.28447882576009,"endHours":25.28447882576009,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.28447882576009,"endHours":26.28447882576009,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.28447882576009,"endHours":27.28447882576009,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.28447882576009,"endHours":28.28447882576009,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.28447882576009,"endHours":29.28447882576009,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.28447882576009,"endHours":30.28447882576009,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.090222049673512,"eotMinutes":14.85683037130801,"ayanamsa":22.9001}},"calendars":{"vikram_samvat":1988,"vikram_samvatsara":"Tāraṇa","saka_samvat":1853,"saka_samvatsara":"Prajāpati","bengali_samvat":1338,"malayalam_era":1107,"nanakshahi_year":462,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 1988 Tāraṇa · Śaka 1853 Prajāpati"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 October 15, 1931 CE · Ṛṣikeśa · Vidhyamitra","description":"October 15, 1931 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:17, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1931-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1931-10-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1931-10-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1931-10-15","x-default":"https://vidhyamitra.com/city/rishikesh/1931-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:07:42.080Z","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":"2026-06-01T00:07:42.080Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:07:42.080Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}