{"id":"vidhyamitra:city-day:rishikesh:2112-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2112-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-09-13","date_display":"September 13, 2112 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":2112,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492707.770833,"kali_year":5214,"ahargana":1904242.2708,"sun":{"sidereal_longitude":144.0546,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":50.7029,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.6483,"elapsed_within_tithi_degrees":2.6483},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.7029,"elapsed_within_degrees":10.7029},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.7575},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2112,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492707.770833,"ahargana":1904242.2708,"kali_year":5214,"ayanamsa_lahiri":25.4273,"grahas":{"sun":{"sidereal_longitude":145.04679,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":54.692290000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-2.4739},"mars":{"sidereal_longitude":256.23629000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":162.48599000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":181.01838999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":176.27049,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":316.09869000000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":84.0806,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":264.0806,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2112,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492707.770833,"kali_year":5214,"ahargana":1904242.2708,"sun":{"sidereal_longitude":144.0546,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":50.7029,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.6483,"elapsed_within_tithi_degrees":2.6483},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.7029,"elapsed_within_degrees":10.7029},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.7575},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.474,"elongation":93.352},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.474,"opposition_distance":86.648}},"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":"18:25","solarNoonLocal":"12:12","dayLengthHours":12.42081680496375,"dayLengthDisplay":"12 Hours 25 Mins 15 Secs","nightLengthDisplay":"11 Hours 34 Mins 45 Secs","moonriseLocal":"23:11","moonsetLocal":"13:11","rahuKala":{"name":"Rāhu Kāla","start":"15:18","end":"16:52","startHours":15.308133019076504,"endHours":16.860735119696972,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:39","startHours":9.097724616594629,"endHours":10.650326717215098,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.755530918456035,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.890711003178566,"endHours":9.304738230010692,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:50","startHours":6.510054448893848,"endHours":6.841276230359548,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.788901591003441,"endHours":12.616956044667692,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:10","startHours":4.336411508025192,"endHours":5.164465961689442,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:00","startHours":4.95745234827338,"endHours":5.992520415353692,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.27306495199619,"endHours":15.10111940566044,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.21333722031744,"endHours":18.61333722031744,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.41333722031744,"endHours":18.930871253857596,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.16333722031744,"endHours":19.91333722031744,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.78890159100344,"endHours":24.616956044667692,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:00","end":"07:33","startHours":5.992520415353692,"endHours":7.54512251597416,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:06","startHours":7.54512251597416,"endHours":9.097724616594629,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:39","startHours":9.097724616594629,"endHours":10.650326717215098,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:12","startHours":10.650326717215098,"endHours":12.202928817835566,"quality":"auspicious"},{"name":"Amṛta","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.755530918456035,"quality":"auspicious"},{"name":"Kāla","start":"13:45","end":"15:18","startHours":13.755530918456035,"endHours":15.308133019076504,"quality":"inauspicious"},{"name":"Śubha","start":"15:18","end":"16:52","startHours":15.308133019076504,"endHours":16.860735119696972,"quality":"auspicious"},{"name":"Roga","start":"16:52","end":"18:25","startHours":16.860735119696972,"endHours":18.41333722031744,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:25","end":"19:52","startHours":18.41333722031744,"endHours":19.860735119696972,"quality":"inauspicious"},{"name":"Śubha","start":"19:52","end":"21:18","startHours":19.860735119696972,"endHours":21.308133019076504,"quality":"auspicious"},{"name":"Roga","start":"21:18","end":"22:45","startHours":21.308133019076504,"endHours":22.755530918456035,"quality":"inauspicious"},{"name":"Udveg","start":"22:45","end":"00:12","startHours":22.755530918456035,"endHours":24.202928817835566,"quality":"inauspicious"},{"name":"Chala","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.650326717215098,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:06","startHours":25.650326717215098,"endHours":27.09772461659463,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:33","startHours":27.09772461659463,"endHours":28.54512251597416,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"06:00","startHours":28.54512251597416,"endHours":29.99252041535369,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":5.992520415353692,"endHours":6.992520415353692,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":6.992520415353692,"endHours":7.992520415353692,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":7.992520415353692,"endHours":8.992520415353692,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":8.992520415353692,"endHours":9.992520415353692,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":9.992520415353692,"endHours":10.992520415353692,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":10.992520415353692,"endHours":11.992520415353692,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":11.992520415353692,"endHours":12.992520415353692,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":12.992520415353692,"endHours":13.992520415353692,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":13.992520415353692,"endHours":14.992520415353692,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":14.992520415353692,"endHours":15.992520415353692,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":15.992520415353692,"endHours":16.99252041535369,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":16.99252041535369,"endHours":17.99252041535369,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":17.99252041535369,"endHours":18.99252041535369,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":18.99252041535369,"endHours":19.99252041535369,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":19.99252041535369,"endHours":20.99252041535369,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":20.99252041535369,"endHours":21.99252041535369,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":21.99252041535369,"endHours":22.99252041535369,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":22.99252041535369,"endHours":23.99252041535369,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":23.99252041535369,"endHours":24.99252041535369,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":24.99252041535369,"endHours":25.99252041535369,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":25.99252041535369,"endHours":26.99252041535369,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":26.99252041535369,"endHours":27.99252041535369,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":27.99252041535369,"endHours":28.99252041535369,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":28.99252041535369,"endHours":29.99252041535369,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","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":3.774061551826177,"eotMinutes":4.753870929866006,"ayanamsa":25.4273}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","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":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Aṣṭamī · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī + Rohiṇī","url":"/day/-3226-07-09","relevance":1}]},"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 13, 2112 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 2112 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 06:00, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2112-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2112-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2112-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2112-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/2112-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:55:14.292Z","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":"2026-06-01T06:55:14.292Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:55:14.292Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}