{"id":"vidhyamitra:city-day:rishikesh:1954-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1954-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1954-01-13","date_display":"January 13, 1954 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":1954,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434755.770833,"kali_year":5055,"ahargana":1846290.2708,"sun":{"sidereal_longitude":269.0884,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":12.2803,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.1919,"elapsed_within_tithi_degrees":7.1919},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.2803,"elapsed_within_degrees":12.2803},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.3687},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":1954,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2434755.770833,"ahargana":1846290.2708,"kali_year":5055,"ayanamsa_lahiri":23.2109,"grahas":{"sun":{"sidereal_longitude":269.1074819999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":12.534881999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":4.4601},"mars":{"sidereal_longitude":201.41218200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":268.7124819999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":54.65558199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":265.7007819999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":195.380582,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":274.6565,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":94.6565,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1954,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434755.770833,"kali_year":5055,"ahargana":1846290.2708,"sun":{"sidereal_longitude":269.0884,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":12.2803,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.1919,"elapsed_within_tithi_degrees":7.1919},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.2803,"elapsed_within_degrees":12.2803},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.3687},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.46,"elongation":103.192},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.46,"opposition_distance":76.808}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":-1.246,"elongation":1.883},{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":-0.146,"opposition_distance":0.955}]},"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":"17:37","solarNoonLocal":"12:26","dayLengthHours":10.374415988076786,"dayLengthDisplay":"10 Hours 22 Mins 28 Secs","nightLengthDisplay":"13 Hours 37 Mins 32 Secs","moonriseLocal":"12:45","moonsetLocal":"01:54","rahuKala":{"name":"Rāhu Kāla","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.722894190032491,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:50","startHours":8.5356861959941,"endHours":9.832488194503696,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:26","startHours":11.129290193013295,"endHours":12.426092191522894,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.659581261369084,"endHours":10.005395127638309,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.671151530321033,"endHours":7.947802623336415,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.080278325253667,"endHours":12.77190605779212,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.855628732407595,"endHours":6.547256464946048,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.3743495318114345,"endHours":7.2388841974845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.155161522869024,"endHours":14.846789255407476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.413300185561287,"endHours":17.813300185561285,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.613300185561286,"endHours":18.045567518397817,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.363300185561286,"endHours":19.113300185561286,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.08027832525367,"endHours":24.77190605779212,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:14","end":"08:32","startHours":7.2388841974845,"endHours":8.5356861959941,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:50","startHours":8.5356861959941,"endHours":9.832488194503696,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:08","startHours":9.832488194503696,"endHours":11.129290193013295,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:26","startHours":11.129290193013295,"endHours":12.426092191522894,"quality":"auspicious"},{"name":"Roga","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.722894190032491,"quality":"inauspicious"},{"name":"Udveg","start":"13:43","end":"15:01","startHours":13.722894190032491,"endHours":15.01969618854209,"quality":"inauspicious"},{"name":"Chala","start":"15:01","end":"16:19","startHours":15.01969618854209,"endHours":16.316498187051685,"quality":"neutral"},{"name":"Labha","start":"16:19","end":"17:37","startHours":16.316498187051685,"endHours":17.613300185561286,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:37","end":"19:19","startHours":17.613300185561286,"endHours":19.31649818705169,"quality":"inauspicious"},{"name":"Chala","start":"19:19","end":"21:01","startHours":19.31649818705169,"endHours":21.01969618854209,"quality":"neutral"},{"name":"Labha","start":"21:01","end":"22:43","startHours":21.01969618854209,"endHours":22.72289419003249,"quality":"auspicious"},{"name":"Amṛta","start":"22:43","end":"00:26","startHours":22.72289419003249,"endHours":24.426092191522894,"quality":"auspicious"},{"name":"Kāla","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.129290193013297,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:50","startHours":26.129290193013297,"endHours":27.832488194503696,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:32","startHours":27.832488194503696,"endHours":29.5356861959941,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:14","startHours":29.5356861959941,"endHours":31.238884197484502,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.2388841974845,"endHours":8.2388841974845,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.2388841974845,"endHours":9.2388841974845,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.2388841974845,"endHours":10.2388841974845,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.2388841974845,"endHours":11.2388841974845,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.2388841974845,"endHours":12.2388841974845,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.2388841974845,"endHours":13.2388841974845,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.2388841974845,"endHours":14.2388841974845,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.2388841974845,"endHours":15.2388841974845,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.2388841974845,"endHours":16.238884197484502,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.238884197484502,"endHours":17.238884197484502,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.238884197484502,"endHours":18.238884197484502,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.238884197484502,"endHours":19.238884197484502,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.238884197484502,"endHours":20.238884197484502,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.238884197484502,"endHours":21.238884197484502,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.238884197484502,"endHours":22.238884197484502,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.238884197484502,"endHours":23.238884197484502,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.238884197484502,"endHours":24.238884197484502,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.238884197484502,"endHours":25.238884197484502,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.238884197484502,"endHours":26.238884197484502,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.238884197484502,"endHours":27.238884197484502,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.238884197484502,"endHours":28.238884197484502,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.238884197484502,"endHours":29.238884197484502,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.238884197484502,"endHours":30.238884197484502,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.238884197484502,"endHours":31.238884197484502,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.588473658560815,"eotMinutes":-8.635931491373626,"ayanamsa":23.2109}},"calendars":{"vikram_samvat":2011,"vikram_samvatsara":"Plavaṅga","saka_samvat":1876,"saka_samvatsara":"Jaya","bengali_samvat":1361,"malayalam_era":1130,"nanakshahi_year":485,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Navamī · Vikram 2011 Plavaṅga · Śaka 1876 Jaya"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":[{"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},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 13, 1954 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 1954 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1954-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1954-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1954-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1954-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/1954-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T10:02:33.680Z","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":"2026-05-24T10:02:33.680Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T10:02:33.680Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}