{"id":"vidhyamitra:city-day:rishikesh:2109-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-10-30","date_display":"October 30, 2109 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":2109,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491658.770833,"kali_year":5211,"ahargana":1903193.2708,"sun":{"sidereal_longitude":190.1609,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":268.025,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.864,"elapsed_within_tithi_degrees":5.864},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.025,"elapsed_within_degrees":1.3583},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.1859},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2109,"month":10,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491658.770833,"ahargana":1903193.2708,"kali_year":5211,"ayanamsa_lahiri":25.3872,"grahas":{"sun":{"sidereal_longitude":191.12496899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":272.31756900000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":3.527},"mars":{"sidereal_longitude":140.98836900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":201.290569,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":117.162169,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":232.82346899999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":278.050969,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":139.6617,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":319.6617,"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":2109,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491658.770833,"kali_year":5211,"ahargana":1903193.2708,"sun":{"sidereal_longitude":190.1609,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":268.025,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.864,"elapsed_within_tithi_degrees":5.864},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.025,"elapsed_within_degrees":1.3583},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.1859},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.527,"elongation":77.864},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.527,"opposition_distance":102.136}},"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":"06:29","sunsetLocal":"17:32","solarNoonLocal":"12:00","dayLengthHours":11.051626459817243,"dayLengthDisplay":"11 Hours 03 Mins 06 Secs","nightLengthDisplay":"12 Hours 56 Mins 54 Secs","moonriseLocal":"12:13","moonsetLocal":"22:38","rahuKala":{"name":"Rāhu Kāla","start":"12:00","end":"13:23","startHours":12.007996435512233,"endHours":13.389449742989388,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:15","startHours":7.863636513080768,"endHours":9.245089820557922,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:00","startHours":10.626543128035078,"endHours":12.007996435512233,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.060896046227636,"endHours":9.429283594888211,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:14","startHours":6.942667641429331,"endHours":7.237377680357791,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:23","startHours":11.639608886851658,"endHours":12.376383984172808,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:45","startHours":5.008633010961313,"endHours":5.745408108282463,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:29","startHours":5.561214333952176,"endHours":6.482183205603612,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:35","startHours":13.849934178815108,"endHours":14.586709276136258,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.333809665420855,"endHours":17.733809665420853,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"18:00","startHours":17.533809665420854,"endHours":17.994294101246574,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.283809665420854,"endHours":19.033809665420854,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:23","startHours":23.639608886851658,"endHours":24.376383984172808,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:29","end":"07:52","startHours":6.482183205603612,"endHours":7.863636513080768,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:15","startHours":7.863636513080768,"endHours":9.245089820557922,"quality":"auspicious"},{"name":"Kāla","start":"09:15","end":"10:38","startHours":9.245089820557922,"endHours":10.626543128035078,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:00","startHours":10.626543128035078,"endHours":12.007996435512233,"quality":"auspicious"},{"name":"Roga","start":"12:00","end":"13:23","startHours":12.007996435512233,"endHours":13.389449742989388,"quality":"inauspicious"},{"name":"Udveg","start":"13:23","end":"14:46","startHours":13.389449742989388,"endHours":14.770903050466544,"quality":"inauspicious"},{"name":"Chala","start":"14:46","end":"16:09","startHours":14.770903050466544,"endHours":16.1523563579437,"quality":"neutral"},{"name":"Labha","start":"16:09","end":"17:32","startHours":16.1523563579437,"endHours":17.533809665420854,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:32","end":"19:09","startHours":17.533809665420854,"endHours":19.1523563579437,"quality":"inauspicious"},{"name":"Chala","start":"19:09","end":"20:46","startHours":19.1523563579437,"endHours":20.770903050466544,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"22:23","startHours":20.770903050466544,"endHours":22.389449742989388,"quality":"auspicious"},{"name":"Amṛta","start":"22:23","end":"00:00","startHours":22.389449742989388,"endHours":24.007996435512233,"quality":"auspicious"},{"name":"Kāla","start":"00:00","end":"01:38","startHours":24.007996435512233,"endHours":25.626543128035078,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:15","startHours":25.626543128035078,"endHours":27.245089820557922,"quality":"auspicious"},{"name":"Roga","start":"03:15","end":"04:52","startHours":27.245089820557922,"endHours":28.863636513080767,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:29","startHours":28.863636513080767,"endHours":30.48218320560361,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.482183205603612,"endHours":7.482183205603612,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.482183205603612,"endHours":8.482183205603611,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.482183205603611,"endHours":9.482183205603611,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.482183205603611,"endHours":10.482183205603611,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.482183205603611,"endHours":11.482183205603611,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.482183205603611,"endHours":12.482183205603611,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.482183205603611,"endHours":13.482183205603611,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.482183205603611,"endHours":14.482183205603611,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.482183205603611,"endHours":15.482183205603611,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.482183205603611,"endHours":16.48218320560361,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.48218320560361,"endHours":17.48218320560361,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.48218320560361,"endHours":18.48218320560361,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.48218320560361,"endHours":19.48218320560361,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.48218320560361,"endHours":20.48218320560361,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.48218320560361,"endHours":21.48218320560361,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.48218320560361,"endHours":22.48218320560361,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.48218320560361,"endHours":23.48218320560361,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.48218320560361,"endHours":24.48218320560361,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.48218320560361,"endHours":25.48218320560361,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.48218320560361,"endHours":26.48218320560361,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.48218320560361,"endHours":27.48218320560361,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.48218320560361,"endHours":28.48218320560361,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.48218320560361,"endHours":29.48218320560361,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.48218320560361,"endHours":30.48218320560361,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-13.68880026435396,"eotMinutes":16.449813869265995,"ayanamsa":25.3872}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Saptamī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"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 October 30, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"October 30, 2109 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 06:29, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-10-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-10-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-10-30","x-default":"https://vidhyamitra.com/city/rishikesh/2109-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T10:15:24.353Z","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":"2026-05-24T10:15:24.353Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T10:15:24.353Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}