{"id":"vidhyamitra:city-day:rishikesh:2051-01-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-01-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-01-17","date_display":"January 17, 2051 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":2051,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470188.770833,"kali_year":5152,"ahargana":1881723.2708,"sun":{"sidereal_longitude":272.067,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":326.7627,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.6957,"elapsed_within_tithi_degrees":6.6957},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":326.7627,"elapsed_within_degrees":6.7627},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.8298},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2051,"month":1,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470188.770833,"ahargana":1881723.2708,"kali_year":5152,"ayanamsa_lahiri":24.5661,"grahas":{"sun":{"sidereal_longitude":272.288181,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":329.501081,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":3.47},"mars":{"sidereal_longitude":350.475581,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":253.71478100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":129.342981,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":225.81118100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":284.40988100000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":197.2456,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.2456,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2051,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470188.770833,"kali_year":5152,"ahargana":1881723.2708,"sun":{"sidereal_longitude":272.067,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":326.7627,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.6957,"elapsed_within_tithi_degrees":6.6957},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":326.7627,"elapsed_within_degrees":6.7627},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.8298},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.47,"elongation":54.696},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.47,"opposition_distance":125.304}},"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":"07:14","sunsetLocal":"17:40","solarNoonLocal":"12:27","dayLengthHours":10.446740212925704,"dayLengthDisplay":"10 Hours 26 Mins 48 Secs","nightLengthDisplay":"13 Hours 33 Mins 12 Secs","moonriseLocal":"10:19","moonsetLocal":"22:13","rahuKala":{"name":"Rāhu Kāla","start":"15:04","end":"16:22","startHours":15.060946532333237,"endHours":16.36678905894895,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.837576425870385,"endHours":11.143418952486098,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:27","end":"13:45","startHours":12.44926147910181,"endHours":13.755104005717524,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66346408898829,"endHours":10.01168876275248,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.661172214844196,"endHours":7.9397519538555485,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.101036805337621,"endHours":12.797486152866,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.832992677582198,"endHours":6.529442025110578,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:14","startHours":6.355329688228483,"endHours":7.225891372638959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.190384847922761,"endHours":14.886834195451142,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.472631585564663,"endHours":17.872631585564662,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.672631585564663,"endHours":18.1079124277699,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.422631585564663,"endHours":19.172631585564663,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.10103680533762,"endHours":24.797486152866,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:32","startHours":7.225891372638959,"endHours":8.531733899254672,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"09:50","startHours":8.531733899254672,"endHours":9.837576425870385,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.837576425870385,"endHours":11.143418952486098,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:27","startHours":11.143418952486098,"endHours":12.44926147910181,"quality":"auspicious"},{"name":"Amṛta","start":"12:27","end":"13:45","startHours":12.44926147910181,"endHours":13.755104005717524,"quality":"auspicious"},{"name":"Kāla","start":"13:45","end":"15:04","startHours":13.755104005717524,"endHours":15.060946532333237,"quality":"inauspicious"},{"name":"Śubha","start":"15:04","end":"16:22","startHours":15.060946532333237,"endHours":16.36678905894895,"quality":"auspicious"},{"name":"Roga","start":"16:22","end":"17:40","startHours":16.36678905894895,"endHours":17.672631585564663,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:40","end":"19:22","startHours":17.672631585564663,"endHours":19.36678905894895,"quality":"inauspicious"},{"name":"Śubha","start":"19:22","end":"21:04","startHours":19.36678905894895,"endHours":21.060946532333237,"quality":"auspicious"},{"name":"Roga","start":"21:04","end":"22:45","startHours":21.060946532333237,"endHours":22.755104005717524,"quality":"inauspicious"},{"name":"Udveg","start":"22:45","end":"00:27","startHours":22.755104005717524,"endHours":24.44926147910181,"quality":"inauspicious"},{"name":"Chala","start":"00:27","end":"02:09","startHours":24.44926147910181,"endHours":26.143418952486098,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.143418952486098,"endHours":27.837576425870385,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:32","startHours":27.837576425870385,"endHours":29.53173389925467,"quality":"auspicious"},{"name":"Kāla","start":"05:32","end":"07:14","startHours":29.53173389925467,"endHours":31.22589137263896,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.225891372638959,"endHours":8.225891372638959,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.225891372638959,"endHours":9.225891372638959,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.225891372638959,"endHours":10.225891372638959,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.225891372638959,"endHours":11.225891372638959,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.225891372638959,"endHours":12.225891372638959,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.225891372638959,"endHours":13.225891372638959,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.225891372638959,"endHours":14.225891372638959,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.225891372638959,"endHours":15.225891372638959,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.225891372638959,"endHours":16.22589137263896,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.22589137263896,"endHours":17.22589137263896,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.22589137263896,"endHours":18.22589137263896,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.22589137263896,"endHours":19.22589137263896,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.22589137263896,"endHours":20.22589137263896,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.22589137263896,"endHours":21.22589137263896,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.22589137263896,"endHours":22.22589137263896,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.22589137263896,"endHours":23.22589137263896,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.22589137263896,"endHours":24.22589137263896,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.22589137263896,"endHours":25.22589137263896,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.22589137263896,"endHours":26.22589137263896,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.22589137263896,"endHours":27.22589137263896,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.22589137263896,"endHours":28.22589137263896,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.22589137263896,"endHours":29.22589137263896,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.22589137263896,"endHours":30.22589137263896,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.22589137263896,"endHours":31.22589137263896,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.783657199665143,"eotMinutes":-10.026088746108654,"ayanamsa":24.5661}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 January 17, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"January 17, 2051 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 07:14, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-01-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-01-17","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-01-17","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-01-17","x-default":"https://vidhyamitra.com/city/rishikesh/2051-01-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:10:10.826Z","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":"2026-06-01T23:10:10.826Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:10:10.826Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}