{"id":"vidhyamitra:city-day:rishikesh:2050-10-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-10-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-09","date_display":"October 9, 2050 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":2050,"month":10,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470088.770833,"kali_year":5152,"ahargana":1881623.2708,"sun":{"sidereal_longitude":170.5252,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":93.552,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.0268,"elapsed_within_tithi_degrees":7.0268},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.552,"elapsed_within_degrees":0.2187},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0771},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2050,"month":10,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470088.770833,"ahargana":1881623.2708,"kali_year":5152,"ayanamsa_lahiri":24.5622,"grahas":{"sun":{"sidereal_longitude":171.39060199999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":96.78980200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-4.2546},"mars":{"sidereal_longitude":295.51300200000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":172.11210200000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":122.98010199999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":182.92860199999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":277.0268020000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":202.5441,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.5441,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":2050,"month":10,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470088.770833,"kali_year":5152,"ahargana":1881623.2708,"sun":{"sidereal_longitude":170.5252,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":93.552,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.0268,"elapsed_within_tithi_degrees":7.0268},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.552,"elapsed_within_degrees":0.2187},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0771},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.255,"elongation":76.973},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.255,"opposition_distance":103.027}},"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":"06:14","sunsetLocal":"17:53","solarNoonLocal":"12:03","dayLengthHours":11.64224466479368,"dayLengthDisplay":"11 Hours 38 Mins 32 Secs","nightLengthDisplay":"12 Hours 21 Mins 28 Secs","moonriseLocal":"00:14","moonsetLocal":"13:56","rahuKala":{"name":"Rāhu Kāla","start":"16:25","end":"17:53","startHours":16.423151943998864,"endHours":17.878432527098074,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:03","end":"13:31","startHours":12.057310194701234,"endHours":13.512590777800444,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:58","end":"16:25","startHours":14.967871360899654,"endHours":16.423151943998864,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:20","startHours":8.95271161742292,"endHours":9.34078643958271,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.7212813900041315,"endHours":7.031741247731963,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:27","startHours":11.669235372541445,"endHours":12.445385016861023,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:41","end":"05:28","startHours":4.683888573665238,"endHours":5.460038217984817,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:14","startHours":5.266000806904922,"endHours":6.236187862304395,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.997684305500183,"endHours":14.773833949819762,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:41","end":"18:05","startHours":17.678432527098074,"endHours":18.078432527098073,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:53","end":"18:22","startHours":17.878432527098074,"endHours":18.36352605479781,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:38","end":"19:23","startHours":17.628432527098074,"endHours":19.378432527098074,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:27","startHours":23.669235372541443,"endHours":24.445385016861024,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:14","end":"07:41","startHours":6.236187862304395,"endHours":7.691468445403605,"quality":"inauspicious"},{"name":"Chala","start":"07:41","end":"09:09","startHours":7.691468445403605,"endHours":9.146749028502814,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:36","startHours":9.146749028502814,"endHours":10.602029611602024,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"12:03","startHours":10.602029611602024,"endHours":12.057310194701234,"quality":"auspicious"},{"name":"Kāla","start":"12:03","end":"13:31","startHours":12.057310194701234,"endHours":13.512590777800444,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:58","startHours":13.512590777800444,"endHours":14.967871360899654,"quality":"auspicious"},{"name":"Roga","start":"14:58","end":"16:25","startHours":14.967871360899654,"endHours":16.423151943998864,"quality":"inauspicious"},{"name":"Udveg","start":"16:25","end":"17:53","startHours":16.423151943998864,"endHours":17.878432527098074,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:53","end":"19:25","startHours":17.878432527098074,"endHours":19.423151943998864,"quality":"auspicious"},{"name":"Roga","start":"19:25","end":"20:58","startHours":19.423151943998864,"endHours":20.967871360899654,"quality":"inauspicious"},{"name":"Udveg","start":"20:58","end":"22:31","startHours":20.967871360899654,"endHours":22.512590777800444,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:03","startHours":22.512590777800444,"endHours":24.057310194701234,"quality":"neutral"},{"name":"Labha","start":"00:03","end":"01:36","startHours":24.057310194701234,"endHours":25.602029611602024,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:09","startHours":25.602029611602024,"endHours":27.146749028502814,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:41","startHours":27.146749028502814,"endHours":28.691468445403604,"quality":"inauspicious"},{"name":"Śubha","start":"04:41","end":"06:14","startHours":28.691468445403604,"endHours":30.236187862304394,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.236187862304395,"endHours":7.236187862304395,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.236187862304395,"endHours":8.236187862304394,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.236187862304394,"endHours":9.236187862304394,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.236187862304394,"endHours":10.236187862304394,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.236187862304394,"endHours":11.236187862304394,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.236187862304394,"endHours":12.236187862304394,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.236187862304394,"endHours":13.236187862304394,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.236187862304394,"endHours":14.236187862304394,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.236187862304394,"endHours":15.236187862304394,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.236187862304394,"endHours":16.236187862304394,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.236187862304394,"endHours":17.236187862304394,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.236187862304394,"endHours":18.236187862304394,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.236187862304394,"endHours":19.236187862304394,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.236187862304394,"endHours":20.236187862304394,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.236187862304394,"endHours":21.236187862304394,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.236187862304394,"endHours":22.236187862304394,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.236187862304394,"endHours":23.236187862304394,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.236187862304394,"endHours":24.236187862304394,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.236187862304394,"endHours":25.236187862304394,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.236187862304394,"endHours":26.236187862304394,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.236187862304394,"endHours":27.236187862304394,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.236187862304394,"endHours":28.236187862304394,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.236187862304394,"endHours":29.236187862304394,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.236187862304394,"endHours":30.236187862304394,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.275826526200517,"eotMinutes":13.49098831792595,"ayanamsa":24.5622}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 9, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"October 9, 2050 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 06:14, sūryāsta 17:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-10-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-10-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-10-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-10-09","x-default":"https://vidhyamitra.com/city/rishikesh/2050-10-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T11:56:51.247Z","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":"2026-06-01T11:56:51.247Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T11:56:51.247Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}