{"id":"vidhyamitra:city-day:noida:2012-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2012-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-01-13","date_display":"January 13, 2012 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":2012,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455939.770833,"kali_year":5113,"ahargana":1867474.2708,"sun":{"sidereal_longitude":268.0531,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":134.243,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.1899,"elapsed_within_tithi_degrees":10.1899},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.243,"elapsed_within_degrees":0.9096},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.2961},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2012,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455939.770833,"ahargana":1867474.2708,"kali_year":5113,"ayanamsa_lahiri":24.0211,"grahas":{"sun":{"sidereal_longitude":268.215598,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":134.768798,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-4.4563},"mars":{"sidereal_longitude":148.143098,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":252.82049800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":6.746697999999981,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":304.35669800000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":184.652198,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":232.2262,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":52.2262,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2012,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455939.770833,"kali_year":5113,"ahargana":1867474.2708,"sun":{"sidereal_longitude":268.0531,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":134.243,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.1899,"elapsed_within_tithi_degrees":10.1899},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.243,"elapsed_within_degrees":0.9096},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.2961},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.456,"elongation":133.81},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.456,"opposition_distance":46.19}},"eclipse_window_40days":[]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:15","sunsetLocal":"17:44","solarNoonLocal":"12:29","dayLengthHours":10.481151592273346,"dayLengthDisplay":"10 Hours 28 Mins 52 Secs","nightLengthDisplay":"13 Hours 31 Mins 08 Secs","moonriseLocal":"21:14","moonsetLocal":"09:56","rahuKala":{"name":"Rāhu Kāla","start":"11:10","end":"12:29","startHours":11.174388242488725,"endHours":12.484532191522892,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:06","end":"16:25","startHours":15.104820089591229,"endHours":16.414964038625396,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:33","end":"09:52","startHours":8.554100344420387,"endHours":9.864244293454556,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.689558433583333,"endHours":10.03893015332578,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.680671045064276,"endHours":7.960168420858232,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.135160471780448,"endHours":12.833903911265338,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.84646951641644,"endHours":6.54521295590133,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:15","startHours":6.3705270960301075,"endHours":7.24395639538622,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.231390790235118,"endHours":14.930134229720007,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.525107987659567,"endHours":17.925107987659565,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.725107987659566,"endHours":18.16182263733762,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.475107987659566,"endHours":19.225107987659566,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.135160471780452,"endHours":24.833903911265338,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:15","end":"08:33","startHours":7.24395639538622,"endHours":8.554100344420387,"quality":"neutral"},{"name":"Labha","start":"08:33","end":"09:52","startHours":8.554100344420387,"endHours":9.864244293454556,"quality":"auspicious"},{"name":"Amṛta","start":"09:52","end":"11:10","startHours":9.864244293454556,"endHours":11.174388242488725,"quality":"auspicious"},{"name":"Kāla","start":"11:10","end":"12:29","startHours":11.174388242488725,"endHours":12.484532191522892,"quality":"inauspicious"},{"name":"Śubha","start":"12:29","end":"13:48","startHours":12.484532191522892,"endHours":13.794676140557062,"quality":"auspicious"},{"name":"Roga","start":"13:48","end":"15:06","startHours":13.794676140557062,"endHours":15.104820089591229,"quality":"inauspicious"},{"name":"Udveg","start":"15:06","end":"16:25","startHours":15.104820089591229,"endHours":16.414964038625396,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:44","startHours":16.414964038625396,"endHours":17.725107987659566,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:44","end":"19:25","startHours":17.725107987659566,"endHours":19.4149640386254,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"21:06","startHours":19.4149640386254,"endHours":21.10482008959123,"quality":"inauspicious"},{"name":"Chala","start":"21:06","end":"22:48","startHours":21.10482008959123,"endHours":22.794676140557062,"quality":"neutral"},{"name":"Labha","start":"22:48","end":"00:29","startHours":22.794676140557062,"endHours":24.484532191522895,"quality":"auspicious"},{"name":"Amṛta","start":"00:29","end":"02:10","startHours":24.484532191522895,"endHours":26.174388242488725,"quality":"auspicious"},{"name":"Kāla","start":"02:10","end":"03:52","startHours":26.174388242488725,"endHours":27.864244293454558,"quality":"inauspicious"},{"name":"Śubha","start":"03:52","end":"05:33","startHours":27.864244293454558,"endHours":29.55410034442039,"quality":"auspicious"},{"name":"Roga","start":"05:33","end":"07:15","startHours":29.55410034442039,"endHours":31.24395639538622,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.24395639538622,"endHours":8.24395639538622,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.24395639538622,"endHours":9.24395639538622,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.24395639538622,"endHours":10.24395639538622,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.24395639538622,"endHours":11.24395639538622,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.24395639538622,"endHours":12.24395639538622,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.24395639538622,"endHours":13.24395639538622,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.24395639538622,"endHours":14.24395639538622,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.24395639538622,"endHours":15.24395639538622,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.24395639538622,"endHours":16.24395639538622,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.24395639538622,"endHours":17.24395639538622,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.24395639538622,"endHours":18.24395639538622,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.24395639538622,"endHours":19.24395639538622,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.24395639538622,"endHours":20.24395639538622,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.24395639538622,"endHours":21.24395639538622,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.24395639538622,"endHours":22.24395639538622,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.24395639538622,"endHours":23.24395639538622,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.24395639538622,"endHours":24.24395639538622,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.24395639538622,"endHours":25.24395639538622,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.24395639538622,"endHours":26.24395639538622,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.24395639538622,"endHours":27.24395639538622,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.24395639538622,"endHours":28.24395639538622,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.24395639538622,"endHours":29.24395639538622,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.24395639538622,"endHours":30.24395639538622,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.24395639538622,"endHours":31.24395639538622,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"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":-21.60171954427987,"eotMinutes":-8.635931491373626,"ayanamsa":24.0211}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"noida"},"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, 2012 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 13, 2012 CE for Noida, Uttar Pradesh: Kṛṣṇa Caturthī, sūryodaya 07:15, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2012-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2012-01-13","sa":"https://sa.vidhyamitra.com/city/noida/2012-01-13","hi":"https://hi.vidhyamitra.com/city/noida/2012-01-13","x-default":"https://vidhyamitra.com/city/noida/2012-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T01:57:55.204Z","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":"2026-05-16T01:57:55.204Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T01:57:55.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}