{"id":"vidhyamitra:city-day:rishikesh:2161-12-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2161-12-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-12-11","date_display":"December 11, 2161 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":2161,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510693.770833,"kali_year":5263,"ahargana":1922228.2708,"sun":{"sidereal_longitude":232.296,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":155.4479,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.1519,"elapsed_within_tithi_degrees":7.1519},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.4479,"elapsed_within_degrees":8.7812},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":27.7438},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2161,"month":12,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510693.770833,"ahargana":1922228.2708,"kali_year":5263,"ayanamsa_lahiri":26.1152,"grahas":{"sun":{"sidereal_longitude":233.119592,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":154.834292,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-3.7139},"mars":{"sidereal_longitude":332.75029199999994,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.582992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":237.23459200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":234.78889200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":210.13119200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":211.0958,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":31.0958,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":2161,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510693.770833,"kali_year":5263,"ahargana":1922228.2708,"sun":{"sidereal_longitude":232.296,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":155.4479,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.1519,"elapsed_within_tithi_degrees":7.1519},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.4479,"elapsed_within_degrees":8.7812},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":27.7438},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.714,"elongation":76.848},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.714,"opposition_distance":103.152}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-1.126,"opposition_distance":1.907}]},"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":"07:04","sunsetLocal":"17:18","solarNoonLocal":"12:11","dayLengthHours":10.245278768079558,"dayLengthDisplay":"10 Hours 14 Mins 43 Secs","nightLengthDisplay":"13 Hours 45 Mins 17 Secs","moonriseLocal":"00:56","moonsetLocal":"13:00","rahuKala":{"name":"Rāhu Kāla","start":"10:54","end":"12:11","startHours":10.901698775914507,"endHours":12.182358621924454,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:45","end":"16:01","startHours":14.743678313944343,"endHours":16.024338159954286,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:20","end":"09:37","startHours":8.340379083894618,"endHours":9.621038929904564,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.450284283769903,"endHours":9.791793576039222,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.486605853221322,"endHours":7.759813287036777,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.840849329655136,"endHours":12.523867914193772,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.6936820688074,"endHours":6.376700653346036,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.205946007211377,"endHours":7.059719237884674,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:34","startHours":13.889905083271046,"endHours":14.572923667809683,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.104998005964234,"endHours":17.504998005964232,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.304998005964233,"endHours":17.731884621300882,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.054998005964233,"endHours":18.804998005964233,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.840849329655136,"endHours":24.523867914193772,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:04","end":"08:20","startHours":7.059719237884674,"endHours":8.340379083894618,"quality":"neutral"},{"name":"Labha","start":"08:20","end":"09:37","startHours":8.340379083894618,"endHours":9.621038929904564,"quality":"auspicious"},{"name":"Amṛta","start":"09:37","end":"10:54","startHours":9.621038929904564,"endHours":10.901698775914507,"quality":"auspicious"},{"name":"Kāla","start":"10:54","end":"12:11","startHours":10.901698775914507,"endHours":12.182358621924454,"quality":"inauspicious"},{"name":"Śubha","start":"12:11","end":"13:28","startHours":12.182358621924454,"endHours":13.463018467934397,"quality":"auspicious"},{"name":"Roga","start":"13:28","end":"14:45","startHours":13.463018467934397,"endHours":14.743678313944343,"quality":"inauspicious"},{"name":"Udveg","start":"14:45","end":"16:01","startHours":14.743678313944343,"endHours":16.024338159954286,"quality":"inauspicious"},{"name":"Chala","start":"16:01","end":"17:18","startHours":16.024338159954286,"endHours":17.304998005964233,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:01","startHours":17.304998005964233,"endHours":19.02433815995429,"quality":"inauspicious"},{"name":"Udveg","start":"19:01","end":"20:45","startHours":19.02433815995429,"endHours":20.743678313944343,"quality":"inauspicious"},{"name":"Chala","start":"20:45","end":"22:28","startHours":20.743678313944343,"endHours":22.463018467934397,"quality":"neutral"},{"name":"Labha","start":"22:28","end":"00:11","startHours":22.463018467934397,"endHours":24.182358621924454,"quality":"auspicious"},{"name":"Amṛta","start":"00:11","end":"01:54","startHours":24.182358621924454,"endHours":25.90169877591451,"quality":"auspicious"},{"name":"Kāla","start":"01:54","end":"03:37","startHours":25.90169877591451,"endHours":27.621038929904564,"quality":"inauspicious"},{"name":"Śubha","start":"03:37","end":"05:20","startHours":27.621038929904564,"endHours":29.340379083894618,"quality":"auspicious"},{"name":"Roga","start":"05:20","end":"07:04","startHours":29.340379083894618,"endHours":31.059719237884675,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.059719237884674,"endHours":8.059719237884675,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.059719237884675,"endHours":9.059719237884675,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.059719237884675,"endHours":10.059719237884675,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.059719237884675,"endHours":11.059719237884675,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.059719237884675,"endHours":12.059719237884675,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.059719237884675,"endHours":13.059719237884675,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.059719237884675,"endHours":14.059719237884675,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.059719237884675,"endHours":15.059719237884675,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.059719237884675,"endHours":16.059719237884675,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.059719237884675,"endHours":17.059719237884675,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.059719237884675,"endHours":18.059719237884675,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.059719237884675,"endHours":19.059719237884675,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.059719237884675,"endHours":20.059719237884675,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.059719237884675,"endHours":21.059719237884675,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.059719237884675,"endHours":22.059719237884675,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.059719237884675,"endHours":23.059719237884675,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.059719237884675,"endHours":24.059719237884675,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.059719237884675,"endHours":25.059719237884675,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.059719237884675,"endHours":26.059719237884675,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.059719237884675,"endHours":27.059719237884675,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.059719237884675,"endHours":28.059719237884675,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.059719237884675,"endHours":29.059719237884675,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.059719237884675,"endHours":30.059719237884675,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.059719237884675,"endHours":31.059719237884675,"planetary_lord":"Mars"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.00009841167473,"eotMinutes":5.988082684532823,"ayanamsa":26.1152}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 December 11, 2161 CE · Ṛṣikeśa · Vidhyamitra","description":"December 11, 2161 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 07:04, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2161-12-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2161-12-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2161-12-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2161-12-11","x-default":"https://vidhyamitra.com/city/rishikesh/2161-12-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:00:17.743Z","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":"2026-05-31T12:00:17.743Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:00:17.743Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}