{"id":"vidhyamitra:city-day:rishikesh:2112-09-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2112-09-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-09-10","date_display":"September 10, 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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492704.770833,"kali_year":5214,"ahargana":1904239.2708,"sun":{"sidereal_longitude":141.1475,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":10.1495,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.002,"elapsed_within_tithi_degrees":1.002},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.1495,"elapsed_within_degrees":10.1495},"yoga":{"number":12,"name":"Dhruva","sum_longitude":151.297},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492704.770833,"ahargana":1904239.2708,"kali_year":5214,"ayanamsa_lahiri":25.4272,"grahas":{"sun":{"sidereal_longitude":142.13160400000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":13.770704000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-4.3273},"mars":{"sidereal_longitude":254.98660399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":157.83750399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":180.44410400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":172.65230399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":316.32440399999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":84.2396,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":264.2396,"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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492704.770833,"kali_year":5214,"ahargana":1904239.2708,"sun":{"sidereal_longitude":141.1475,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":10.1495,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.002,"elapsed_within_tithi_degrees":1.002},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.1495,"elapsed_within_degrees":10.1495},"yoga":{"number":12,"name":"Dhruva","sum_longitude":151.297},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.327,"elongation":130.998},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.327,"opposition_distance":49.002}},"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":"05:58","sunsetLocal":"18:29","solarNoonLocal":"12:13","dayLengthHours":12.509865443456487,"dayLengthDisplay":"12 Hours 30 Mins 36 Secs","nightLengthDisplay":"11 Hours 29 Mins 24 Secs","moonriseLocal":"21:02","moonsetLocal":"10:17","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:39","startHours":9.093912009508443,"endHours":10.657645189940503,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:47","end":"15:21","startHours":13.785111550804626,"endHours":15.348844731236685,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:58","end":"07:32","startHours":5.966445648644321,"endHours":7.530178829076382,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.885414252117501,"endHours":9.302409766899384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.487690042121674,"endHours":6.82128645394718,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:38","startHours":11.804382855590681,"endHours":12.638373885154447,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:08","startHours":4.298463589516789,"endHours":5.132454619080555,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:58","startHours":4.923956861689613,"endHours":5.966445648644321,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:08","startHours":14.306355944281979,"endHours":15.140346973845745,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.27631109210081,"endHours":18.676311092100807,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:00","startHours":18.476311092100808,"endHours":18.99755548557816,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.226311092100808,"endHours":19.976311092100808,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:38","startHours":23.80438285559068,"endHours":24.638373885154444,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:58","end":"07:32","startHours":5.966445648644321,"endHours":7.530178829076382,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:06","startHours":7.530178829076382,"endHours":9.093912009508443,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:39","startHours":9.093912009508443,"endHours":10.657645189940503,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:13","startHours":10.657645189940503,"endHours":12.221378370372564,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:47","startHours":12.221378370372564,"endHours":13.785111550804626,"quality":"neutral"},{"name":"Labha","start":"13:47","end":"15:21","startHours":13.785111550804626,"endHours":15.348844731236685,"quality":"auspicious"},{"name":"Amṛta","start":"15:21","end":"16:55","startHours":15.348844731236685,"endHours":16.91257791166875,"quality":"auspicious"},{"name":"Kāla","start":"16:55","end":"18:29","startHours":16.91257791166875,"endHours":18.476311092100808,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:29","end":"19:55","startHours":18.476311092100808,"endHours":19.91257791166875,"quality":"auspicious"},{"name":"Amṛta","start":"19:55","end":"21:21","startHours":19.91257791166875,"endHours":21.348844731236685,"quality":"auspicious"},{"name":"Kāla","start":"21:21","end":"22:47","startHours":21.348844731236685,"endHours":22.785111550804626,"quality":"inauspicious"},{"name":"Śubha","start":"22:47","end":"00:13","startHours":22.785111550804626,"endHours":24.221378370372562,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:39","startHours":24.221378370372562,"endHours":25.657645189940503,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:06","startHours":25.657645189940503,"endHours":27.093912009508443,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:32","startHours":27.093912009508443,"endHours":28.530178829076384,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:58","startHours":28.530178829076384,"endHours":29.96644564864432,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.966445648644321,"endHours":6.966445648644321,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.966445648644321,"endHours":7.966445648644321,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.966445648644321,"endHours":8.96644564864432,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.96644564864432,"endHours":9.96644564864432,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.96644564864432,"endHours":10.96644564864432,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.96644564864432,"endHours":11.96644564864432,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.96644564864432,"endHours":12.96644564864432,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.96644564864432,"endHours":13.96644564864432,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.96644564864432,"endHours":14.96644564864432,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.96644564864432,"endHours":15.96644564864432,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.96644564864432,"endHours":16.96644564864432,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.96644564864432,"endHours":17.96644564864432,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.96644564864432,"endHours":18.96644564864432,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.96644564864432,"endHours":19.96644564864432,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.96644564864432,"endHours":20.96644564864432,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.96644564864432,"endHours":21.96644564864432,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.96644564864432,"endHours":22.96644564864432,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.96644564864432,"endHours":23.96644564864432,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.96644564864432,"endHours":24.96644564864432,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.96644564864432,"endHours":25.96644564864432,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.96644564864432,"endHours":26.96644564864432,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.96644564864432,"endHours":27.96644564864432,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.96644564864432,"endHours":28.96644564864432,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.96644564864432,"endHours":29.96644564864432,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","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":4.915501817833914,"eotMinutes":3.6468977776461458,"ayanamsa":25.4272}},"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 Pañcamī · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 10, 2112 CE · Ṛṣikeśa · Vidhyamitra","description":"September 10, 2112 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 05:58, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2112-09-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2112-09-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2112-09-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2112-09-10","x-default":"https://vidhyamitra.com/city/rishikesh/2112-09-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:01:29.299Z","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":"2026-06-01T19:01:29.299Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:01:29.299Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}