{"id":"vidhyamitra:city-day:rishikesh:2102-09-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2102-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-09-16","date_display":"September 16, 2102 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":2102,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489057.770833,"kali_year":5204,"ahargana":1900592.2708,"sun":{"sidereal_longitude":146.5665,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":188.2814,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.7149,"elapsed_within_tithi_degrees":5.7149},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.2814,"elapsed_within_degrees":1.6147},"yoga":{"number":26,"name":"Indra","sum_longitude":334.848},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2102,"month":9,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489057.770833,"ahargana":1900592.2708,"kali_year":5204,"ayanamsa_lahiri":25.2877,"grahas":{"sun":{"sidereal_longitude":147.54114700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":187.75874699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":-4.4996},"mars":{"sidereal_longitude":166.83554700000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":130.884047,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":230.46044699999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":142.351447,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":200.04464699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":277.4752,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":97.4752,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489057.770833,"kali_year":5204,"ahargana":1900592.2708,"sun":{"sidereal_longitude":146.5665,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":188.2814,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.7149,"elapsed_within_tithi_degrees":5.7149},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.2814,"elapsed_within_degrees":1.6147},"yoga":{"number":26,"name":"Indra","sum_longitude":334.848},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.5,"elongation":41.715},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.5,"opposition_distance":138.285}},"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":"18:22","solarNoonLocal":"12:11","dayLengthHours":12.34866507979497,"dayLengthDisplay":"12 Hours 20 Mins 55 Secs","nightLengthDisplay":"11 Hours 39 Mins 05 Secs","moonriseLocal":"09:19","moonsetLocal":"20:25","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:38","startHours":9.097188546205778,"endHours":10.640771681180151,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:44","end":"15:16","startHours":13.727937951128894,"endHours":15.271521086103263,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:01","end":"07:33","startHours":6.010022276257037,"endHours":7.553605411231408,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.891377461542529,"endHours":9.302999630869028,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:51","startHours":6.524549987915161,"endHours":6.85384772337636,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:36","startHours":11.772732646828022,"endHours":12.59597698548102,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:11","startHours":4.363533598951041,"endHours":5.186777937604039,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:59","end":"06:01","startHours":4.98096685294079,"endHours":6.010022276257037,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"15:04","startHours":14.242465662787016,"endHours":15.065710001440014,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.158687356052006,"endHours":18.558687356052005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:52","startHours":18.358687356052005,"endHours":18.873215067710127,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.108687356052005,"endHours":19.858687356052005,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:36","startHours":23.772732646828022,"endHours":24.59597698548102,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:01","end":"07:33","startHours":6.010022276257037,"endHours":7.553605411231408,"quality":"inauspicious"},{"name":"Śubha","start":"07:33","end":"09:06","startHours":7.553605411231408,"endHours":9.097188546205778,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:38","startHours":9.097188546205778,"endHours":10.640771681180151,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:11","startHours":10.640771681180151,"endHours":12.18435481615452,"quality":"inauspicious"},{"name":"Chala","start":"12:11","end":"13:44","startHours":12.18435481615452,"endHours":13.727937951128894,"quality":"neutral"},{"name":"Labha","start":"13:44","end":"15:16","startHours":13.727937951128894,"endHours":15.271521086103263,"quality":"auspicious"},{"name":"Amṛta","start":"15:16","end":"16:49","startHours":15.271521086103263,"endHours":16.815104221077636,"quality":"auspicious"},{"name":"Kāla","start":"16:49","end":"18:22","startHours":16.815104221077636,"endHours":18.358687356052005,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:22","end":"19:49","startHours":18.358687356052005,"endHours":19.815104221077632,"quality":"auspicious"},{"name":"Amṛta","start":"19:49","end":"21:16","startHours":19.815104221077632,"endHours":21.271521086103263,"quality":"auspicious"},{"name":"Kāla","start":"21:16","end":"22:44","startHours":21.271521086103263,"endHours":22.727937951128894,"quality":"inauspicious"},{"name":"Śubha","start":"22:44","end":"00:11","startHours":22.727937951128894,"endHours":24.18435481615452,"quality":"auspicious"},{"name":"Roga","start":"00:11","end":"01:38","startHours":24.18435481615452,"endHours":25.640771681180148,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:06","startHours":25.640771681180148,"endHours":27.09718854620578,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:33","startHours":27.09718854620578,"endHours":28.55360541123141,"quality":"neutral"},{"name":"Labha","start":"04:33","end":"06:01","startHours":28.55360541123141,"endHours":30.010022276257036,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.010022276257037,"endHours":7.010022276257037,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.010022276257037,"endHours":8.010022276257036,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.010022276257036,"endHours":9.010022276257036,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.010022276257036,"endHours":10.010022276257036,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.010022276257036,"endHours":11.010022276257036,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.010022276257036,"endHours":12.010022276257036,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.010022276257036,"endHours":13.010022276257036,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.010022276257036,"endHours":14.010022276257036,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.010022276257036,"endHours":15.010022276257036,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.010022276257036,"endHours":16.010022276257036,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.010022276257036,"endHours":17.010022276257036,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.010022276257036,"endHours":18.010022276257036,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.010022276257036,"endHours":19.010022276257036,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.010022276257036,"endHours":20.010022276257036,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.010022276257036,"endHours":21.010022276257036,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.010022276257036,"endHours":22.010022276257036,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.010022276257036,"endHours":23.010022276257036,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.010022276257036,"endHours":24.010022276257036,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.010022276257036,"endHours":25.010022276257036,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.010022276257036,"endHours":26.010022276257036,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.010022276257036,"endHours":27.010022276257036,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.010022276257036,"endHours":28.010022276257036,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.010022276257036,"endHours":29.010022276257036,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.010022276257036,"endHours":30.010022276257036,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":2.845929601540918,"eotMinutes":5.868311030728706,"ayanamsa":25.2877}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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, 2102 CE · Ṛṣikeśa · Vidhyamitra","description":"September 16, 2102 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:01, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2102-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2102-09-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2102-09-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2102-09-16","x-default":"https://vidhyamitra.com/city/rishikesh/2102-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T01:14:46.337Z","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":"2026-05-21T01:14:46.337Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T01:14:46.337Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}