{"id":"vidhyamitra:city-day:rishikesh:1874-09-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1874-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1874-09-15","date_display":"September 15, 1874 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":1874,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405781.770833,"kali_year":4976,"ahargana":1817316.2708,"sun":{"sidereal_longitude":149.4807,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":199.9554,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.4747,"elapsed_within_tithi_degrees":2.4747},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":199.9554,"elapsed_within_degrees":13.2887},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":349.4361},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1874,"month":9,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405781.770833,"ahargana":1817316.2708,"kali_year":4976,"ayanamsa_lahiri":22.1027,"grahas":{"sun":{"sidereal_longitude":149.908002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":196.62190199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-0.7897},"mars":{"sidereal_longitude":128.87800200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":157.74300200000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":166.95010200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":197.651702,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":287.31080199999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":9.8384,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.8384,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"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":1874,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405781.770833,"kali_year":4976,"ahargana":1817316.2708,"sun":{"sidereal_longitude":149.4807,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":199.9554,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.4747,"elapsed_within_tithi_degrees":2.4747},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":199.9554,"elapsed_within_degrees":13.2887},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":349.4361},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.79,"elongation":50.475},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.79,"opposition_distance":129.525}},"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":"06:00","sunsetLocal":"18:23","solarNoonLocal":"12:11","dayLengthHours":12.373751988904576,"dayLengthDisplay":"12 Hours 22 Mins 26 Secs","nightLengthDisplay":"11 Hours 37 Mins 34 Secs","moonriseLocal":"09:50","moonsetLocal":"20:47","rahuKala":{"name":"Rāhu Kāla","start":"15:17","end":"16:50","startHours":15.283986777502772,"endHours":16.830705776115842,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:39","startHours":9.097110783050482,"endHours":10.643829781663555,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"13:44","startHours":12.190548780276625,"endHours":13.737267778889699,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.890881583235405,"endHours":9.303339982865559,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:51","startHours":6.5192457853620285,"endHours":6.84921250506615,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:36","startHours":11.778090380646475,"endHours":12.603007179906779,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:11","startHours":4.353839187303728,"endHours":5.178755986564033,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:00","startHours":4.972526786748956,"endHours":6.003672785824338,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"15:05","startHours":14.252840778427391,"endHours":15.077757577687697,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.177424774728916,"endHours":18.577424774728915,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:54","startHours":18.377424774728915,"endHours":18.892997774266608,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.127424774728915,"endHours":19.877424774728915,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:36","startHours":23.778090380646475,"endHours":24.603007179906783,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:00","end":"07:33","startHours":6.003672785824338,"endHours":7.55039178443741,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:06","startHours":7.55039178443741,"endHours":9.097110783050482,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:39","startHours":9.097110783050482,"endHours":10.643829781663555,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:11","startHours":10.643829781663555,"endHours":12.190548780276625,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"13:44","startHours":12.190548780276625,"endHours":13.737267778889699,"quality":"auspicious"},{"name":"Kāla","start":"13:44","end":"15:17","startHours":13.737267778889699,"endHours":15.283986777502772,"quality":"inauspicious"},{"name":"Śubha","start":"15:17","end":"16:50","startHours":15.283986777502772,"endHours":16.830705776115842,"quality":"auspicious"},{"name":"Roga","start":"16:50","end":"18:23","startHours":16.830705776115842,"endHours":18.377424774728915,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:50","startHours":18.377424774728915,"endHours":19.830705776115842,"quality":"inauspicious"},{"name":"Śubha","start":"19:50","end":"21:17","startHours":19.830705776115842,"endHours":21.283986777502772,"quality":"auspicious"},{"name":"Roga","start":"21:17","end":"22:44","startHours":21.283986777502772,"endHours":22.7372677788897,"quality":"inauspicious"},{"name":"Udveg","start":"22:44","end":"00:11","startHours":22.7372677788897,"endHours":24.19054878027663,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:39","startHours":24.19054878027663,"endHours":25.643829781663555,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:06","startHours":25.643829781663555,"endHours":27.097110783050482,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:33","startHours":27.097110783050482,"endHours":28.55039178443741,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"06:00","startHours":28.55039178443741,"endHours":30.00367278582434,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":6.003672785824338,"endHours":7.003672785824338,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":7.003672785824338,"endHours":8.003672785824339,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":8.003672785824339,"endHours":9.003672785824339,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":9.003672785824339,"endHours":10.003672785824339,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":10.003672785824339,"endHours":11.003672785824339,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":11.003672785824339,"endHours":12.003672785824339,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":12.003672785824339,"endHours":13.003672785824339,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":13.003672785824339,"endHours":14.003672785824339,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":14.003672785824339,"endHours":15.003672785824339,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":15.003672785824339,"endHours":16.00367278582434,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":16.00367278582434,"endHours":17.00367278582434,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":17.00367278582434,"endHours":18.00367278582434,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":18.00367278582434,"endHours":19.00367278582434,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":19.00367278582434,"endHours":20.00367278582434,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":20.00367278582434,"endHours":21.00367278582434,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":21.00367278582434,"endHours":22.00367278582434,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":22.00367278582434,"endHours":23.00367278582434,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":23.00367278582434,"endHours":24.00367278582434,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":24.00367278582434,"endHours":25.00367278582434,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":25.00367278582434,"endHours":26.00367278582434,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":26.00367278582434,"endHours":27.00367278582434,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":27.00367278582434,"endHours":28.00367278582434,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":28.00367278582434,"endHours":29.00367278582434,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":29.00367278582434,"endHours":30.00367278582434,"planetary_lord":"Saturn"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.168931316353237,"eotMinutes":5.496673183402374,"ayanamsa":22.1027}},"calendars":{"vikram_samvat":1931,"vikram_samvatsara":"Sarvajit","saka_samvat":1796,"saka_samvatsara":"Bhāva","bengali_samvat":1281,"malayalam_era":1050,"nanakshahi_year":405,"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":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pañcamī · Vikram 1931 Sarvajit · Śaka 1796 Bhāva"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 September 15, 1874 CE · Ṛṣikeśa · Vidhyamitra","description":"September 15, 1874 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:00, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1874-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1874-09-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1874-09-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1874-09-15","x-default":"https://vidhyamitra.com/city/rishikesh/1874-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:38:35.524Z","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":"2026-05-31T21:38:35.524Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:38:35.524Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}