{"id":"vidhyamitra:city-day:rishikesh:2169-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2169-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-09-12","date_display":"September 12, 2169 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":2169,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513525.770833,"kali_year":5271,"ahargana":1925060.2708,"sun":{"sidereal_longitude":142.359,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":28.1896,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.8306,"elapsed_within_tithi_degrees":5.8306},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.1896,"elapsed_within_degrees":1.5229},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.5486},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2169,"month":9,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513525.770833,"ahargana":1925060.2708,"kali_year":5271,"ayanamsa_lahiri":26.2235,"grahas":{"sun":{"sidereal_longitude":143.485589,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":25.89438899999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-2.4394},"mars":{"sidereal_longitude":89.712489,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":128.134189,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":125.02598899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":122.77848900000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":291.082989,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":61.0428,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":241.0428,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513525.770833,"kali_year":5271,"ahargana":1925060.2708,"sun":{"sidereal_longitude":142.359,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":28.1896,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.8306,"elapsed_within_tithi_degrees":5.8306},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.1896,"elapsed_within_degrees":1.5229},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.5486},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.439,"elongation":114.169},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.439,"opposition_distance":65.831}},"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":"05:59","sunsetLocal":"18:26","solarNoonLocal":"12:13","dayLengthHours":12.444218032069791,"dayLengthDisplay":"12 Hours 26 Mins 39 Secs","nightLengthDisplay":"11 Hours 33 Mins 21 Secs","moonriseLocal":"21:35","moonsetLocal":"11:09","rahuKala":{"name":"Rāhu Kāla","start":"15:19","end":"16:53","startHours":15.320155915551027,"endHours":16.87568316955975,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:39","startHours":9.098046899516131,"endHours":10.653574153524854,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:46","startHours":12.209101407533577,"endHours":13.764628661542302,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.8906432656483,"endHours":9.30545053338396,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.505501476168257,"endHours":6.837347290356784,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:37","startHours":11.794294139797918,"endHours":12.623908675269236,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:09","startHours":4.327763320556043,"endHours":5.157377856027363,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.949974222159533,"endHours":5.986992391498682,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:07","startHours":14.283137746211878,"endHours":15.112752281683198,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.231210423568474,"endHours":18.631210423568472,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.431210423568473,"endHours":18.949719508238047,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.181210423568473,"endHours":19.931210423568473,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:37","startHours":23.794294139797916,"endHours":24.623908675269238,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:59","end":"07:33","startHours":5.986992391498682,"endHours":7.542519645507406,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:06","startHours":7.542519645507406,"endHours":9.098046899516131,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:39","startHours":9.098046899516131,"endHours":10.653574153524854,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:13","startHours":10.653574153524854,"endHours":12.209101407533577,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:46","startHours":12.209101407533577,"endHours":13.764628661542302,"quality":"auspicious"},{"name":"Kāla","start":"13:46","end":"15:19","startHours":13.764628661542302,"endHours":15.320155915551027,"quality":"inauspicious"},{"name":"Śubha","start":"15:19","end":"16:53","startHours":15.320155915551027,"endHours":16.87568316955975,"quality":"auspicious"},{"name":"Roga","start":"16:53","end":"18:26","startHours":16.87568316955975,"endHours":18.431210423568473,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:26","end":"19:53","startHours":18.431210423568473,"endHours":19.87568316955975,"quality":"inauspicious"},{"name":"Śubha","start":"19:53","end":"21:19","startHours":19.87568316955975,"endHours":21.320155915551027,"quality":"auspicious"},{"name":"Roga","start":"21:19","end":"22:46","startHours":21.320155915551027,"endHours":22.7646286615423,"quality":"inauspicious"},{"name":"Udveg","start":"22:46","end":"00:13","startHours":22.7646286615423,"endHours":24.209101407533577,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:39","startHours":24.209101407533577,"endHours":25.653574153524854,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:06","startHours":25.653574153524854,"endHours":27.098046899516127,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:33","startHours":27.098046899516127,"endHours":28.542519645507404,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"05:59","startHours":28.542519645507404,"endHours":29.98699239149868,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.986992391498682,"endHours":6.986992391498682,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.986992391498682,"endHours":7.986992391498682,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.986992391498682,"endHours":8.986992391498681,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.986992391498681,"endHours":9.986992391498681,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.986992391498681,"endHours":10.986992391498681,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.986992391498681,"endHours":11.986992391498681,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.986992391498681,"endHours":12.986992391498681,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.986992391498681,"endHours":13.986992391498681,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.986992391498681,"endHours":14.986992391498681,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.986992391498681,"endHours":15.986992391498681,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.986992391498681,"endHours":16.98699239149868,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98699239149868,"endHours":17.98699239149868,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98699239149868,"endHours":18.98699239149868,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98699239149868,"endHours":19.98699239149868,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98699239149868,"endHours":20.98699239149868,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98699239149868,"endHours":21.98699239149868,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98699239149868,"endHours":22.98699239149868,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98699239149868,"endHours":23.98699239149868,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98699239149868,"endHours":24.98699239149868,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98699239149868,"endHours":25.98699239149868,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98699239149868,"endHours":26.98699239149868,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98699239149868,"endHours":27.98699239149868,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98699239149868,"endHours":28.98699239149868,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98699239149868,"endHours":29.98699239149868,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","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":4.074491391979802,"eotMinutes":4.383515547985428,"ayanamsa":26.2235}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"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 Ṣaṣṭhī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 12, 2169 CE · Ṛṣikeśa · Vidhyamitra","description":"September 12, 2169 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:59, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2169-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2169-09-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2169-09-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2169-09-12","x-default":"https://vidhyamitra.com/city/rishikesh/2169-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:08:10.661Z","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":"2026-06-03T03:08:10.661Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:08:10.661Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}