{"id":"vidhyamitra:city-day:rishikesh:2113-11-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2113-11-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-11-02","date_display":"November 2, 2113 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":2113,"month":11,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493122.770833,"kali_year":5215,"ahargana":1904657.2708,"sun":{"sidereal_longitude":193.1345,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":118.3851,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.2505,"elapsed_within_tithi_degrees":9.2505},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.3851,"elapsed_within_degrees":11.7184},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.5196},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2113,"month":11,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493122.770833,"ahargana":1904657.2708,"kali_year":5215,"ayanamsa_lahiri":25.4432,"grahas":{"sun":{"sidereal_longitude":194.09593399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":122.10123399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":3.7423},"mars":{"sidereal_longitude":168.01933399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":175.423134,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":215.35943399999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":183.053634,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":326.25033400000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":62.0919,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.0919,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":2113,"month":11,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493122.770833,"kali_year":5215,"ahargana":1904657.2708,"sun":{"sidereal_longitude":193.1345,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":118.3851,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.2505,"elapsed_within_tithi_degrees":9.2505},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.3851,"elapsed_within_degrees":11.7184},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.5196},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.742,"elongation":74.749},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.742,"opposition_distance":105.251}},"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":"06:31","sunsetLocal":"17:30","solarNoonLocal":"12:01","dayLengthHours":10.97114437074677,"dayLengthDisplay":"10 Hours 58 Mins 16 Secs","nightLengthDisplay":"13 Hours 01 Mins 44 Secs","moonriseLocal":"00:41","moonsetLocal":"13:44","rahuKala":{"name":"Rāhu Kāla","start":"13:23","end":"14:45","startHours":13.379917559600099,"endHours":14.751310605943445,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:31","end":"07:54","startHours":6.522952327883367,"endHours":7.894345374226713,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:38","startHours":9.26573842057006,"endHours":10.637131466913406,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.082886014390947,"endHours":9.448590826749172,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.980083343331149,"endHours":7.272647193217729,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:22","startHours":11.642819700898526,"endHours":12.374229325614978,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:47","startHours":5.060133078450464,"endHours":5.7915427031669156,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:31","startHours":5.6086902969878025,"endHours":6.522952327883367,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:34","startHours":13.83704857504788,"endHours":14.568458199764333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.29409669863014,"endHours":17.694096698630137,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:57","startHours":17.494096698630138,"endHours":17.95122771407792,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.244096698630138,"endHours":18.994096698630138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:22","startHours":23.642819700898528,"endHours":24.374229325614976,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:31","end":"07:54","startHours":6.522952327883367,"endHours":7.894345374226713,"quality":"auspicious"},{"name":"Roga","start":"07:54","end":"09:16","startHours":7.894345374226713,"endHours":9.26573842057006,"quality":"inauspicious"},{"name":"Udveg","start":"09:16","end":"10:38","startHours":9.26573842057006,"endHours":10.637131466913406,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:01","startHours":10.637131466913406,"endHours":12.008524513256752,"quality":"neutral"},{"name":"Labha","start":"12:01","end":"13:23","startHours":12.008524513256752,"endHours":13.379917559600099,"quality":"auspicious"},{"name":"Amṛta","start":"13:23","end":"14:45","startHours":13.379917559600099,"endHours":14.751310605943445,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:07","startHours":14.751310605943445,"endHours":16.12270365228679,"quality":"inauspicious"},{"name":"Śubha","start":"16:07","end":"17:30","startHours":16.12270365228679,"endHours":17.494096698630138,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:30","end":"19:07","startHours":17.494096698630138,"endHours":19.12270365228679,"quality":"auspicious"},{"name":"Kāla","start":"19:07","end":"20:45","startHours":19.12270365228679,"endHours":20.751310605943445,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:23","startHours":20.751310605943445,"endHours":22.3799175596001,"quality":"auspicious"},{"name":"Roga","start":"22:23","end":"00:01","startHours":22.3799175596001,"endHours":24.008524513256752,"quality":"inauspicious"},{"name":"Udveg","start":"00:01","end":"01:38","startHours":24.008524513256752,"endHours":25.637131466913406,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:16","startHours":25.637131466913406,"endHours":27.26573842057006,"quality":"neutral"},{"name":"Labha","start":"03:16","end":"04:54","startHours":27.26573842057006,"endHours":28.894345374226713,"quality":"auspicious"},{"name":"Amṛta","start":"04:54","end":"06:31","startHours":28.894345374226713,"endHours":30.522952327883367,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.522952327883367,"endHours":7.522952327883367,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.522952327883367,"endHours":8.522952327883367,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.522952327883367,"endHours":9.522952327883367,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.522952327883367,"endHours":10.522952327883367,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.522952327883367,"endHours":11.522952327883367,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.522952327883367,"endHours":12.522952327883367,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.522952327883367,"endHours":13.522952327883367,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.522952327883367,"endHours":14.522952327883367,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.522952327883367,"endHours":15.522952327883367,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.522952327883367,"endHours":16.522952327883367,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.522952327883367,"endHours":17.522952327883367,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.522952327883367,"endHours":18.522952327883367,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.522952327883367,"endHours":19.522952327883367,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.522952327883367,"endHours":20.522952327883367,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.522952327883367,"endHours":21.522952327883367,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.522952327883367,"endHours":22.522952327883367,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.522952327883367,"endHours":23.522952327883367,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.522952327883367,"endHours":24.522952327883367,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.522952327883367,"endHours":25.522952327883367,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.522952327883367,"endHours":26.522952327883367,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.522952327883367,"endHours":27.522952327883367,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.522952327883367,"endHours":28.522952327883367,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.522952327883367,"endHours":29.522952327883367,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.522952327883367,"endHours":30.522952327883367,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.666864893482272,"eotMinutes":16.418129204594955,"ayanamsa":25.4432}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Navamī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 November 2, 2113 CE · Ṛṣikeśa · Vidhyamitra","description":"November 2, 2113 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 06:31, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2113-11-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2113-11-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2113-11-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2113-11-02","x-default":"https://vidhyamitra.com/city/rishikesh/2113-11-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T08:09:00.048Z","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":"2026-05-31T08:09:00.048Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T08:09:00.048Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}