{"id":"vidhyamitra:city-day:rishikesh:2165-09-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-09-16","date_display":"September 16, 2165 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":2165,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512068.770833,"kali_year":5267,"ahargana":1923603.2708,"sun":{"sidereal_longitude":146.2735,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":269.9532,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.6797,"elapsed_within_tithi_degrees":3.6797},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.9532,"elapsed_within_degrees":3.2865},"yoga":{"number":5,"name":"Śobhana","sum_longitude":56.2267},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2165,"month":9,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512068.770833,"ahargana":1923603.2708,"kali_year":5267,"ayanamsa_lahiri":26.1678,"grahas":{"sun":{"sidereal_longitude":147.401157,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":268.1101570000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":3.3577},"mars":{"sidereal_longitude":58.67915700000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":168.86695699999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":6.0474570000000085,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":191.41965700000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":243.93415700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":138.2417,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":318.2417,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2165,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512068.770833,"kali_year":5267,"ahargana":1923603.2708,"sun":{"sidereal_longitude":146.2735,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":269.9532,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.6797,"elapsed_within_tithi_degrees":3.6797},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.9532,"elapsed_within_degrees":3.2865},"yoga":{"number":5,"name":"Śobhana","sum_longitude":56.2267},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.358,"elongation":123.68},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.358,"opposition_distance":56.32}},"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":12.325957019194497,"dayLengthDisplay":"12 Hours 19 Mins 33 Secs","nightLengthDisplay":"11 Hours 40 Mins 27 Secs","moonriseLocal":"15:03","moonsetLocal":"01:25","rahuKala":{"name":"Rāhu Kāla","start":"07:34","end":"09:06","startHours":7.562120933956583,"endHours":9.102865561355895,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:11","startHours":10.643610188755208,"endHours":12.18435481615452,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:44","end":"15:16","startHours":13.725099443553832,"endHours":15.265844070953143,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.89743294436932,"endHours":9.30829817834247,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:52","startHours":6.534957849023709,"endHours":6.863650036202229,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:36","startHours":11.773489582181371,"endHours":12.59522005012767,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:12","startHours":4.377915370664672,"endHours":5.199645838610971,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:01","startHours":4.994213221624396,"endHours":6.021376306557271,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:04","startHours":14.23868098602027,"endHours":15.06041145396657,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.14733332575177,"endHours":18.54733332575177,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:52","startHours":18.34733332575177,"endHours":18.860914868218206,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.09733332575177,"endHours":19.84733332575177,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:36","startHours":23.77348958218137,"endHours":24.595220050127672,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:01","end":"07:34","startHours":6.021376306557271,"endHours":7.562120933956583,"quality":"auspicious"},{"name":"Kāla","start":"07:34","end":"09:06","startHours":7.562120933956583,"endHours":9.102865561355895,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:39","startHours":9.102865561355895,"endHours":10.643610188755208,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:11","startHours":10.643610188755208,"endHours":12.18435481615452,"quality":"inauspicious"},{"name":"Udveg","start":"12:11","end":"13:44","startHours":12.18435481615452,"endHours":13.725099443553832,"quality":"inauspicious"},{"name":"Chala","start":"13:44","end":"15:16","startHours":13.725099443553832,"endHours":15.265844070953143,"quality":"neutral"},{"name":"Labha","start":"15:16","end":"16:48","startHours":15.265844070953143,"endHours":16.806588698352456,"quality":"auspicious"},{"name":"Amṛta","start":"16:48","end":"18:21","startHours":16.806588698352456,"endHours":18.34733332575177,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:21","end":"19:48","startHours":18.34733332575177,"endHours":19.806588698352456,"quality":"neutral"},{"name":"Labha","start":"19:48","end":"21:16","startHours":19.806588698352456,"endHours":21.265844070953143,"quality":"auspicious"},{"name":"Amṛta","start":"21:16","end":"22:44","startHours":21.265844070953143,"endHours":22.725099443553834,"quality":"auspicious"},{"name":"Kāla","start":"22:44","end":"00:11","startHours":22.725099443553834,"endHours":24.18435481615452,"quality":"inauspicious"},{"name":"Śubha","start":"00:11","end":"01:39","startHours":24.18435481615452,"endHours":25.643610188755208,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:06","startHours":25.643610188755208,"endHours":27.102865561355898,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:34","startHours":27.102865561355898,"endHours":28.562120933956585,"quality":"inauspicious"},{"name":"Chala","start":"04:34","end":"06:01","startHours":28.562120933956585,"endHours":30.021376306557272,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.021376306557271,"endHours":7.021376306557271,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.021376306557271,"endHours":8.021376306557272,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.021376306557272,"endHours":9.021376306557272,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.021376306557272,"endHours":10.021376306557272,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.021376306557272,"endHours":11.021376306557272,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.021376306557272,"endHours":12.021376306557272,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.021376306557272,"endHours":13.021376306557272,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.021376306557272,"endHours":14.021376306557272,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.021376306557272,"endHours":15.021376306557272,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.021376306557272,"endHours":16.021376306557272,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.021376306557272,"endHours":17.021376306557272,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.021376306557272,"endHours":18.021376306557272,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.021376306557272,"endHours":19.021376306557272,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.021376306557272,"endHours":20.021376306557272,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.021376306557272,"endHours":21.021376306557272,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.021376306557272,"endHours":22.021376306557272,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.021376306557272,"endHours":23.021376306557272,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.021376306557272,"endHours":24.021376306557272,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.021376306557272,"endHours":25.021376306557272,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.021376306557272,"endHours":26.021376306557272,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.021376306557272,"endHours":27.021376306557272,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.021376306557272,"endHours":28.021376306557272,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.021376306557272,"endHours":29.021376306557272,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.021376306557272,"endHours":30.021376306557272,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-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":2.5533121750880716,"eotMinutes":5.868311030728706,"ayanamsa":26.1678}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Ekādaśī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"parsva-ekadashi","name":"Pārśva (Parivartinī) Ekādaśī","name_sanskrit":"पार्श्व एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (turning side in yoga-nidrā)","significance":"Viṣṇu turns from one side to another in yoga-nidrā (mid-Cāturmāsya).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"September 16, 2165 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 06:01, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-09-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-09-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-09-16","x-default":"https://vidhyamitra.com/city/rishikesh/2165-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:13:31.392Z","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":"2026-05-31T23:13:31.392Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:13:31.392Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}