{"id":"vidhyamitra:city-day:rishikesh:2107-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2107-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-01-31","date_display":"January 31, 2107 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":2107,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490655.770833,"kali_year":5208,"ahargana":1902190.2708,"sun":{"sidereal_longitude":284.8891,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":5.1174,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.2283,"elapsed_within_tithi_degrees":8.2283},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.1174,"elapsed_within_degrees":5.1174},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.0064},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2107,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490655.770833,"ahargana":1902190.2708,"kali_year":5208,"ayanamsa_lahiri":25.3488,"grahas":{"sun":{"sidereal_longitude":285.144091,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":1.5118909999999914,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":0.6014},"mars":{"sidereal_longitude":295.619091,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":287.96409100000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":10.626791000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":242.212491,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":255.8776909999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":192.8055,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":12.8055,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2107,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490655.770833,"kali_year":5208,"ahargana":1902190.2708,"sun":{"sidereal_longitude":284.8891,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":5.1174,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.2283,"elapsed_within_tithi_degrees":8.2283},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.1174,"elapsed_within_degrees":5.1174},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.0064},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.601,"elongation":80.228},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.601,"opposition_distance":99.772}},"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":"07:09","sunsetLocal":"17:52","solarNoonLocal":"12:30","dayLengthHours":10.724190292903891,"dayLengthDisplay":"10 Hours 43 Mins 27 Secs","nightLengthDisplay":"13 Hours 16 Mins 33 Secs","moonriseLocal":"11:09","moonsetLocal":"00:03","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:50","startHours":8.486081782525075,"endHours":9.82660556913806,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:30","startHours":11.167129355751047,"endHours":12.507653142364035,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:51","end":"15:11","startHours":13.84817692897702,"endHours":15.188700715590006,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.64786906425633,"endHours":10.005342074019792,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.592399258116417,"endHours":7.878377665927187,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.150180132600571,"endHours":12.865126152127498,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.715665956858236,"endHours":6.430611976385162,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.25187547150343,"endHours":7.145557995912088,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.295018191181349,"endHours":15.009964210708274,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.66974828881598,"endHours":18.06974828881598,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:19","startHours":17.86974828881598,"endHours":18.31658955102031,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.61974828881598,"endHours":19.36974828881598,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.15018013260057,"endHours":24.865126152127498,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:29","startHours":7.145557995912088,"endHours":8.486081782525075,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:50","startHours":8.486081782525075,"endHours":9.82660556913806,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.82660556913806,"endHours":11.167129355751047,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:30","startHours":11.167129355751047,"endHours":12.507653142364035,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"13:51","startHours":12.507653142364035,"endHours":13.84817692897702,"quality":"inauspicious"},{"name":"Chala","start":"13:51","end":"15:11","startHours":13.84817692897702,"endHours":15.188700715590006,"quality":"neutral"},{"name":"Labha","start":"15:11","end":"16:32","startHours":15.188700715590006,"endHours":16.529224502202993,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"17:52","startHours":16.529224502202993,"endHours":17.86974828881598,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:52","end":"19:32","startHours":17.86974828881598,"endHours":19.529224502202993,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"21:11","startHours":19.529224502202993,"endHours":21.18870071559001,"quality":"auspicious"},{"name":"Amṛta","start":"21:11","end":"22:51","startHours":21.18870071559001,"endHours":22.848176928977022,"quality":"auspicious"},{"name":"Kāla","start":"22:51","end":"00:30","startHours":22.848176928977022,"endHours":24.507653142364035,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"02:10","startHours":24.507653142364035,"endHours":26.167129355751047,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.167129355751047,"endHours":27.82660556913806,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:29","startHours":27.82660556913806,"endHours":29.486081782525076,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:09","startHours":29.486081782525076,"endHours":31.14555799591209,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.145557995912088,"endHours":8.145557995912089,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.145557995912089,"endHours":9.145557995912089,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.145557995912089,"endHours":10.145557995912089,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.145557995912089,"endHours":11.145557995912089,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.145557995912089,"endHours":12.145557995912089,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.145557995912089,"endHours":13.145557995912089,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.145557995912089,"endHours":14.145557995912089,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.145557995912089,"endHours":15.145557995912089,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.145557995912089,"endHours":16.14555799591209,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14555799591209,"endHours":17.14555799591209,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14555799591209,"endHours":18.14555799591209,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14555799591209,"endHours":19.14555799591209,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14555799591209,"endHours":20.14555799591209,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14555799591209,"endHours":21.14555799591209,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14555799591209,"endHours":22.14555799591209,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14555799591209,"endHours":23.14555799591209,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14555799591209,"endHours":24.14555799591209,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14555799591209,"endHours":25.14555799591209,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14555799591209,"endHours":26.14555799591209,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14555799591209,"endHours":27.14555799591209,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14555799591209,"endHours":28.14555799591209,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14555799591209,"endHours":29.14555799591209,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14555799591209,"endHours":30.14555799591209,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14555799591209,"endHours":31.14555799591209,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.60602863564969,"eotMinutes":-13.52958854184206,"ayanamsa":25.3488}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Saptamī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 January 31, 2107 CE · Ṛṣikeśa · Vidhyamitra","description":"January 31, 2107 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 07:09, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2107-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2107-01-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2107-01-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2107-01-31","x-default":"https://vidhyamitra.com/city/rishikesh/2107-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T21:55:37.154Z","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":"2026-05-20T21:55:37.154Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T21:55:37.154Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}