{"id":"vidhyamitra:city-day:rishikesh:2141-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2141-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2141-10-15","date_display":"October 15, 2141 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":2141,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503331.770833,"kali_year":5243,"ahargana":1914866.2708,"sun":{"sidereal_longitude":174.9324,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":345.5565,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.6241,"elapsed_within_tithi_degrees":2.6241},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":345.5565,"elapsed_within_degrees":12.2232},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.4889},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2141,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2503331.770833,"ahargana":1914866.2708,"kali_year":5243,"ayanamsa_lahiri":25.8337,"grahas":{"sun":{"sidereal_longitude":176.01387499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":347.715875,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":4.3586},"mars":{"sidereal_longitude":134.089675,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":164.53297500000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":351.500975,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":218.47317499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":308.08607499999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":241.17,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.17,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"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":2141,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503331.770833,"kali_year":5243,"ahargana":1914866.2708,"sun":{"sidereal_longitude":174.9324,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":345.5565,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.6241,"elapsed_within_tithi_degrees":2.6241},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":345.5565,"elapsed_within_degrees":12.2232},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.4889},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.359,"elongation":170.624},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.359,"opposition_distance":9.376}},"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":"06:18","sunsetLocal":"17:46","solarNoonLocal":"12:02","dayLengthHours":11.466944483258303,"dayLengthDisplay":"11 Hours 28 Mins 01 Secs","nightLengthDisplay":"12 Hours 31 Mins 59 Secs","moonriseLocal":"17:14","moonsetLocal":"05:44","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"17:46","startHours":16.334650341700062,"endHours":17.76801840210735,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.467914220885486,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:54","end":"16:20","startHours":14.901282281292776,"endHours":16.334650341700062,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.976694298275985,"endHours":9.358925781051262,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.778863272318144,"endHours":7.084648458538366,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.652314677702924,"endHours":12.416777643253477,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.772147987747941,"endHours":5.536610953298495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:18","startHours":5.3454952119108565,"endHours":6.301073918849048,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.945703574354582,"endHours":14.710166539905135,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.568018402107352,"endHours":17.96801840210735,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:15","startHours":17.76801840210735,"endHours":18.245807755576447,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.51801840210735,"endHours":19.26801840210735,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.652314677702922,"endHours":24.41677764325348,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:18","end":"07:44","startHours":6.301073918849048,"endHours":7.734441979256336,"quality":"inauspicious"},{"name":"Chala","start":"07:44","end":"09:10","startHours":7.734441979256336,"endHours":9.167810039663625,"quality":"neutral"},{"name":"Labha","start":"09:10","end":"10:36","startHours":9.167810039663625,"endHours":10.60117810007091,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"12:02","startHours":10.60117810007091,"endHours":12.0345461604782,"quality":"auspicious"},{"name":"Kāla","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.467914220885486,"quality":"inauspicious"},{"name":"Śubha","start":"13:28","end":"14:54","startHours":13.467914220885486,"endHours":14.901282281292776,"quality":"auspicious"},{"name":"Roga","start":"14:54","end":"16:20","startHours":14.901282281292776,"endHours":16.334650341700062,"quality":"inauspicious"},{"name":"Udveg","start":"16:20","end":"17:46","startHours":16.334650341700062,"endHours":17.76801840210735,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:46","end":"19:20","startHours":17.76801840210735,"endHours":19.334650341700062,"quality":"auspicious"},{"name":"Roga","start":"19:20","end":"20:54","startHours":19.334650341700062,"endHours":20.901282281292776,"quality":"inauspicious"},{"name":"Udveg","start":"20:54","end":"22:28","startHours":20.901282281292776,"endHours":22.46791422088549,"quality":"inauspicious"},{"name":"Chala","start":"22:28","end":"00:02","startHours":22.46791422088549,"endHours":24.0345461604782,"quality":"neutral"},{"name":"Labha","start":"00:02","end":"01:36","startHours":24.0345461604782,"endHours":25.60117810007091,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:10","startHours":25.60117810007091,"endHours":27.167810039663625,"quality":"auspicious"},{"name":"Kāla","start":"03:10","end":"04:44","startHours":27.167810039663625,"endHours":28.73444197925634,"quality":"inauspicious"},{"name":"Śubha","start":"04:44","end":"06:18","startHours":28.73444197925634,"endHours":30.30107391884905,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.301073918849048,"endHours":7.301073918849048,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.301073918849048,"endHours":8.301073918849049,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.301073918849049,"endHours":9.301073918849049,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.301073918849049,"endHours":10.301073918849049,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.301073918849049,"endHours":11.301073918849049,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.301073918849049,"endHours":12.301073918849049,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.301073918849049,"endHours":13.301073918849049,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.301073918849049,"endHours":14.301073918849049,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.301073918849049,"endHours":15.301073918849049,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.301073918849049,"endHours":16.30107391884905,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.30107391884905,"endHours":17.30107391884905,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.30107391884905,"endHours":18.30107391884905,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.30107391884905,"endHours":19.30107391884905,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.30107391884905,"endHours":20.30107391884905,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.30107391884905,"endHours":21.30107391884905,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.30107391884905,"endHours":22.30107391884905,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.30107391884905,"endHours":23.30107391884905,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.30107391884905,"endHours":24.30107391884905,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.30107391884905,"endHours":25.30107391884905,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.30107391884905,"endHours":26.30107391884905,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.30107391884905,"endHours":27.30107391884905,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.30107391884905,"endHours":28.30107391884905,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.30107391884905,"endHours":29.30107391884905,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.30107391884905,"endHours":30.30107391884905,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","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":-8.511715018891651,"eotMinutes":14.85683037130801,"ayanamsa":25.8337}},"calendars":{"vikram_samvat":2198,"vikram_samvatsara":"Ānanda","saka_samvat":2063,"saka_samvatsara":"Plava","bengali_samvat":1548,"malayalam_era":1317,"nanakshahi_year":672,"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 Pūrṇimā · Vikram 2198 Ānanda · Śaka 2063 Plava"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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, 2141 CE · Ṛṣikeśa · Vidhyamitra","description":"October 15, 2141 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 06:18, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2141-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2141-10-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2141-10-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2141-10-15","x-default":"https://vidhyamitra.com/city/rishikesh/2141-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:05:25.033Z","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":"2026-06-02T04:05:25.033Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:05:25.033Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}