{"id":"vidhyamitra:city-day:rishikesh:2161-09-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2161-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-09-16","date_display":"September 16, 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":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510607.770833,"kali_year":5263,"ahargana":1922142.2708,"sun":{"sidereal_longitude":146.3075,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":98.4722,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.1646,"elapsed_within_tithi_degrees":0.1646},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.4722,"elapsed_within_degrees":5.1388},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.7797},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":9,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510607.770833,"ahargana":1922142.2708,"kali_year":5263,"ayanamsa_lahiri":26.1119,"grahas":{"sun":{"sidereal_longitude":147.424978,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":97.17777799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-4.0022},"mars":{"sidereal_longitude":313.67667800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":133.400978,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":220.85607800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":127.25147800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":200.64867800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":215.6525,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.6525,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510607.770833,"kali_year":5263,"ahargana":1922142.2708,"sun":{"sidereal_longitude":146.3075,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":98.4722,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.1646,"elapsed_within_tithi_degrees":0.1646},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.4722,"elapsed_within_degrees":5.1388},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.7797},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.002,"elongation":47.835},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.002,"opposition_distance":132.165}},"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":"06:01","sunsetLocal":"18:21","solarNoonLocal":"12:11","dayLengthHours":12.326941515155562,"dayLengthDisplay":"12 Hours 19 Mins 37 Secs","nightLengthDisplay":"11 Hours 40 Mins 23 Secs","moonriseLocal":"02:00","moonsetLocal":"15:40","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:44","startHours":12.18435481615452,"endHours":13.725222505548965,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:34","end":"09:06","startHours":7.561751747971184,"endHours":9.102619437365629,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:11","startHours":10.643487126760075,"endHours":12.18435481615452,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.897170412113036,"endHours":9.308068462618222,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:52","startHours":6.53450662170822,"endHours":6.8632250621123685,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:36","startHours":11.773456765649335,"endHours":12.595252866659706,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:12","startHours":4.377291856555997,"endHours":5.199087957566368,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:01","startHours":4.993638932313775,"endHours":6.020884058576739,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:04","startHours":14.238845068680448,"endHours":15.060641169690818,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.1478255737323,"endHours":18.5478255737323,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:52","startHours":18.3478255737323,"endHours":18.861448136863782,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.0978255737323,"endHours":19.8478255737323,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:36","startHours":23.773456765649335,"endHours":24.595252866659706,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:01","end":"07:34","startHours":6.020884058576739,"endHours":7.561751747971184,"quality":"auspicious"},{"name":"Amṛta","start":"07:34","end":"09:06","startHours":7.561751747971184,"endHours":9.102619437365629,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:39","startHours":9.102619437365629,"endHours":10.643487126760075,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:11","startHours":10.643487126760075,"endHours":12.18435481615452,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:44","startHours":12.18435481615452,"endHours":13.725222505548965,"quality":"inauspicious"},{"name":"Udveg","start":"13:44","end":"15:16","startHours":13.725222505548965,"endHours":15.266090194943411,"quality":"inauspicious"},{"name":"Chala","start":"15:16","end":"16:48","startHours":15.266090194943411,"endHours":16.806957884337855,"quality":"neutral"},{"name":"Labha","start":"16:48","end":"18:21","startHours":16.806957884337855,"endHours":18.3478255737323,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:21","end":"19:48","startHours":18.3478255737323,"endHours":19.806957884337855,"quality":"inauspicious"},{"name":"Chala","start":"19:48","end":"21:16","startHours":19.806957884337855,"endHours":21.26609019494341,"quality":"neutral"},{"name":"Labha","start":"21:16","end":"22:44","startHours":21.26609019494341,"endHours":22.725222505548963,"quality":"auspicious"},{"name":"Amṛta","start":"22:44","end":"00:11","startHours":22.725222505548963,"endHours":24.18435481615452,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:39","startHours":24.18435481615452,"endHours":25.643487126760075,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:06","startHours":25.643487126760075,"endHours":27.10261943736563,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:34","startHours":27.10261943736563,"endHours":28.561751747971186,"quality":"inauspicious"},{"name":"Udveg","start":"04:34","end":"06:01","startHours":28.561751747971186,"endHours":30.02088405857674,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.020884058576739,"endHours":7.020884058576739,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.020884058576739,"endHours":8.020884058576739,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.020884058576739,"endHours":9.020884058576739,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.020884058576739,"endHours":10.020884058576739,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.020884058576739,"endHours":11.020884058576739,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.020884058576739,"endHours":12.020884058576739,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.020884058576739,"endHours":13.020884058576739,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.020884058576739,"endHours":14.020884058576739,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.020884058576739,"endHours":15.020884058576739,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.020884058576739,"endHours":16.02088405857674,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.02088405857674,"endHours":17.02088405857674,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.02088405857674,"endHours":18.02088405857674,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.02088405857674,"endHours":19.02088405857674,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.02088405857674,"endHours":20.02088405857674,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.02088405857674,"endHours":21.02088405857674,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.02088405857674,"endHours":22.02088405857674,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.02088405857674,"endHours":23.02088405857674,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.02088405857674,"endHours":24.02088405857674,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.02088405857674,"endHours":25.02088405857674,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.02088405857674,"endHours":26.02088405857674,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.02088405857674,"endHours":27.02088405857674,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.02088405857674,"endHours":28.02088405857674,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.02088405857674,"endHours":29.02088405857674,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.02088405857674,"endHours":30.02088405857674,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","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":2.566003009466155,"eotMinutes":5.868311030728706,"ayanamsa":26.1119}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada (Adhika) Kṛṣṇa Dvādaśī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 16, 2161 CE · Ṛṣikeśa · Vidhyamitra","description":"September 16, 2161 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 06:01, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2161-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2161-09-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2161-09-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2161-09-16","x-default":"https://vidhyamitra.com/city/rishikesh/2161-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:52:48.686Z","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":"2026-05-31T14:52:48.686Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:52:48.686Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}