{"id":"vidhyamitra:city-day:rishikesh:1864-09-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1864-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1864-09-15","date_display":"September 15, 1864 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":1864,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402129.770833,"kali_year":4966,"ahargana":1813664.2708,"sun":{"sidereal_longitude":150.0528,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":318.9487,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.8959,"elapsed_within_tithi_degrees":0.8959},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.9487,"elapsed_within_degrees":12.282},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.0015},"karana":{"half_tithi_index":28,"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":1864,"month":9,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402129.770833,"ahargana":1813664.2708,"kali_year":4966,"ayanamsa_lahiri":21.9631,"grahas":{"sun":{"sidereal_longitude":150.456635,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":318.322535,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":4.0571},"mars":{"sidereal_longitude":49.64193499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":169.37683500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":213.36803499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":168.32593500000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":176.51973499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":203.339,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":23.339,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"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":1864,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402129.770833,"kali_year":4966,"ahargana":1813664.2708,"sun":{"sidereal_longitude":150.0528,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":318.9487,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.8959,"elapsed_within_tithi_degrees":0.8959},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.9487,"elapsed_within_degrees":12.282},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.0015},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.057,"elongation":168.896},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.057,"opposition_distance":11.104}},"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":"06:01","sunsetLocal":"18:22","solarNoonLocal":"12:11","dayLengthHours":12.361211919702779,"dayLengthDisplay":"12 Hours 21 Mins 40 Secs","nightLengthDisplay":"11 Hours 38 Mins 20 Secs","moonriseLocal":"17:38","moonsetLocal":"05:08","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:17","startHours":13.735700270239477,"endHours":15.28085176020232,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:01","end":"07:33","startHours":6.0099428204252385,"endHours":7.555094310388085,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:39","startHours":9.100245800350933,"endHours":10.645397290313781,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.89422560168922,"endHours":9.306265999012647,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:51","startHours":6.524993317079521,"endHours":6.854625634938262,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:36","startHours":11.7785083829532,"endHours":12.602589177600054,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:11","startHours":4.361781231131535,"endHours":5.185862025778387,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:59","end":"06:01","startHours":4.979841827116673,"endHours":6.0099428204252385,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"15:04","startHours":14.25075076689376,"endHours":15.074831561540611,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.171154740128017,"endHours":18.571154740128016,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:53","startHours":18.371154740128016,"endHours":18.8862052367823,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.121154740128016,"endHours":19.871154740128016,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:36","startHours":23.778508382953202,"endHours":24.602589177600056,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:01","end":"07:33","startHours":6.0099428204252385,"endHours":7.555094310388085,"quality":"auspicious"},{"name":"Roga","start":"07:33","end":"09:06","startHours":7.555094310388085,"endHours":9.100245800350933,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:39","startHours":9.100245800350933,"endHours":10.645397290313781,"quality":"inauspicious"},{"name":"Chala","start":"10:39","end":"12:11","startHours":10.645397290313781,"endHours":12.190548780276629,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:44","startHours":12.190548780276629,"endHours":13.735700270239477,"quality":"auspicious"},{"name":"Amṛta","start":"13:44","end":"15:17","startHours":13.735700270239477,"endHours":15.28085176020232,"quality":"auspicious"},{"name":"Kāla","start":"15:17","end":"16:50","startHours":15.28085176020232,"endHours":16.82600325016517,"quality":"inauspicious"},{"name":"Śubha","start":"16:50","end":"18:22","startHours":16.82600325016517,"endHours":18.371154740128016,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:22","end":"19:50","startHours":18.371154740128016,"endHours":19.82600325016517,"quality":"auspicious"},{"name":"Kāla","start":"19:50","end":"21:17","startHours":19.82600325016517,"endHours":21.28085176020232,"quality":"inauspicious"},{"name":"Śubha","start":"21:17","end":"22:44","startHours":21.28085176020232,"endHours":22.735700270239477,"quality":"auspicious"},{"name":"Roga","start":"22:44","end":"00:11","startHours":22.735700270239477,"endHours":24.19054878027663,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:39","startHours":24.19054878027663,"endHours":25.64539729031378,"quality":"inauspicious"},{"name":"Chala","start":"01:39","end":"03:06","startHours":25.64539729031378,"endHours":27.100245800350933,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:33","startHours":27.100245800350933,"endHours":28.555094310388085,"quality":"auspicious"},{"name":"Amṛta","start":"04:33","end":"06:01","startHours":28.555094310388085,"endHours":30.009942820425238,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.0099428204252385,"endHours":7.0099428204252385,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.0099428204252385,"endHours":8.009942820425238,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.009942820425238,"endHours":9.009942820425238,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.009942820425238,"endHours":10.009942820425238,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.009942820425238,"endHours":11.009942820425238,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.009942820425238,"endHours":12.009942820425238,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.009942820425238,"endHours":13.009942820425238,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.009942820425238,"endHours":14.009942820425238,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.009942820425238,"endHours":15.009942820425238,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.009942820425238,"endHours":16.009942820425238,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.009942820425238,"endHours":17.009942820425238,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.009942820425238,"endHours":18.009942820425238,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.009942820425238,"endHours":19.009942820425238,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.009942820425238,"endHours":20.009942820425238,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.009942820425238,"endHours":21.009942820425238,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.009942820425238,"endHours":22.009942820425238,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.009942820425238,"endHours":23.009942820425238,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.009942820425238,"endHours":24.009942820425238,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.009942820425238,"endHours":25.009942820425238,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.009942820425238,"endHours":26.009942820425238,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.009942820425238,"endHours":27.009942820425238,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.009942820425238,"endHours":28.009942820425238,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.009942820425238,"endHours":29.009942820425238,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.009942820425238,"endHours":30.009942820425238,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.0075108186265576,"eotMinutes":5.496673183402374,"ayanamsa":21.9631}},"calendars":{"vikram_samvat":1921,"vikram_samvatsara":"Īśvara","saka_samvat":1786,"saka_samvatsara":"Raktākṣī","bengali_samvat":1271,"malayalam_era":1040,"nanakshahi_year":395,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pūrṇimā · Vikram 1921 Īśvara · Śaka 1786 Raktākṣī"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi_ingress":"Kanyā"},"precedence":4}],"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":[{"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 September 15, 1864 CE · Ṛṣikeśa · Vidhyamitra","description":"September 15, 1864 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 06:01, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1864-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1864-09-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1864-09-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1864-09-15","x-default":"https://vidhyamitra.com/city/rishikesh/1864-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:23:58.857Z","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":"2026-06-01T01:23:58.857Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:23:58.857Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}