{"id":"vidhyamitra:city-day:rishikesh:2124-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2124-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-10-16","date_display":"October 16, 2124 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":2124,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497123.770833,"kali_year":5226,"ahargana":1908658.2708,"sun":{"sidereal_longitude":176.3197,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":273.5191,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.1993,"elapsed_within_tithi_degrees":1.1993},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.5191,"elapsed_within_degrees":6.8524},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.8388},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":2124,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497123.770833,"ahargana":1908658.2708,"kali_year":5226,"ayanamsa_lahiri":25.5962,"grahas":{"sun":{"sidereal_longitude":177.35776599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":273.95396600000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":4.0235},"mars":{"sidereal_longitude":127.26846599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":198.54536600000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":191.47666600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":144.66456600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":120.544466,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":210.0997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.0997,"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":2124,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497123.770833,"kali_year":5226,"ahargana":1908658.2708,"sun":{"sidereal_longitude":176.3197,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":273.5191,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.1993,"elapsed_within_tithi_degrees":1.1993},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.5191,"elapsed_within_degrees":6.8524},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.8388},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.024,"elongation":97.199},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.024,"opposition_distance":82.801}},"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":"06:19","sunsetLocal":"17:45","solarNoonLocal":"12:02","dayLengthHours":11.434460457325095,"dayLengthDisplay":"11 Hours 26 Mins 04 Secs","nightLengthDisplay":"12 Hours 33 Mins 56 Secs","moonriseLocal":"13:15","moonsetLocal":"23:42","rahuKala":{"name":"Rāhu Kāla","start":"07:45","end":"09:10","startHours":7.743441835650072,"endHours":9.172749392815708,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:02","startHours":10.602056949981346,"endHours":12.031364507146982,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"14:53","startHours":13.460672064312618,"endHours":14.889979621478256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.98217505186029,"endHours":9.363323733771127,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.790570130872981,"endHours":7.09548907640165,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.650215825236145,"endHours":12.412513189057819,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.789539550841089,"endHours":5.551836914662761,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:19","startHours":5.361262573707344,"endHours":6.314134278484435,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:42","startHours":13.937107916701166,"endHours":14.69940528052284,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.54859473580953,"endHours":17.94859473580953,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:14","startHours":17.74859473580953,"endHours":18.225030588198074,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.49859473580953,"endHours":19.24859473580953,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.650215825236145,"endHours":24.41251318905782,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:19","end":"07:45","startHours":6.314134278484435,"endHours":7.743441835650072,"quality":"auspicious"},{"name":"Kāla","start":"07:45","end":"09:10","startHours":7.743441835650072,"endHours":9.172749392815708,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:36","startHours":9.172749392815708,"endHours":10.602056949981346,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:02","startHours":10.602056949981346,"endHours":12.031364507146982,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:28","startHours":12.031364507146982,"endHours":13.460672064312618,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"14:53","startHours":13.460672064312618,"endHours":14.889979621478256,"quality":"neutral"},{"name":"Labha","start":"14:53","end":"16:19","startHours":14.889979621478256,"endHours":16.319287178643894,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:45","startHours":16.319287178643894,"endHours":17.74859473580953,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:45","end":"19:19","startHours":17.74859473580953,"endHours":19.319287178643894,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"20:53","startHours":19.319287178643894,"endHours":20.889979621478254,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:28","startHours":20.889979621478254,"endHours":22.460672064312618,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"00:02","startHours":22.460672064312618,"endHours":24.031364507146982,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"01:36","startHours":24.031364507146982,"endHours":25.602056949981346,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"03:10","startHours":25.602056949981346,"endHours":27.17274939281571,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:45","startHours":27.17274939281571,"endHours":28.74344183565007,"quality":"inauspicious"},{"name":"Chala","start":"04:45","end":"06:19","startHours":28.74344183565007,"endHours":30.314134278484435,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.314134278484435,"endHours":7.314134278484435,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.314134278484435,"endHours":8.314134278484435,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.314134278484435,"endHours":9.314134278484435,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.314134278484435,"endHours":10.314134278484435,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.314134278484435,"endHours":11.314134278484435,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.314134278484435,"endHours":12.314134278484435,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.314134278484435,"endHours":13.314134278484435,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.314134278484435,"endHours":14.314134278484435,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.314134278484435,"endHours":15.314134278484435,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.314134278484435,"endHours":16.314134278484435,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.314134278484435,"endHours":17.314134278484435,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.314134278484435,"endHours":18.314134278484435,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.314134278484435,"endHours":19.314134278484435,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.314134278484435,"endHours":20.314134278484435,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.314134278484435,"endHours":21.314134278484435,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.314134278484435,"endHours":22.314134278484435,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.314134278484435,"endHours":23.314134278484435,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.314134278484435,"endHours":24.314134278484435,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.314134278484435,"endHours":25.314134278484435,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.314134278484435,"endHours":26.314134278484435,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.314134278484435,"endHours":27.314134278484435,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.314134278484435,"endHours":28.314134278484435,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.314134278484435,"endHours":29.314134278484435,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.314134278484435,"endHours":30.314134278484435,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.923306458948986,"eotMinutes":15.04772957118102,"ayanamsa":25.5962}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 October 16, 2124 CE · Ṛṣikeśa · Vidhyamitra","description":"October 16, 2124 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 06:19, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2124-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2124-10-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2124-10-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2124-10-16","x-default":"https://vidhyamitra.com/city/rishikesh/2124-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T20:52:02.424Z","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":"2026-05-24T20:52:02.424Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T20:52:02.424Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}