{"id":"vidhyamitra:city-day:noida:2013-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2013-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-01-01","date_display":"January 1, 2013 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":2013,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456293.770833,"kali_year":5114,"ahargana":1867828.2708,"sun":{"sidereal_longitude":256.4806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":119.4977,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.0171,"elapsed_within_tithi_degrees":7.0171},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.4977,"elapsed_within_degrees":12.831},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.9782},"karana":{"half_tithi_index":37,"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":2013,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456293.770833,"ahargana":1867828.2708,"kali_year":5114,"ayanamsa_lahiri":24.0346,"grahas":{"sun":{"sidereal_longitude":256.743972,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":117.26807199999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-4.4892},"mars":{"sidereal_longitude":280.546472,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":246.48327199999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":43.33037200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":235.619772,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":195.243872,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":213.4696,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.4696,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2013,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456293.770833,"kali_year":5114,"ahargana":1867828.2708,"sun":{"sidereal_longitude":256.4806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":119.4977,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.0171,"elapsed_within_tithi_degrees":7.0171},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.4977,"elapsed_within_degrees":12.831},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.9782},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.489,"elongation":136.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.489,"opposition_distance":43.017}},"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":"07:13","sunsetLocal":"17:35","solarNoonLocal":"12:24","dayLengthHours":10.361618839516034,"dayLengthDisplay":"10 Hours 21 Mins 42 Secs","nightLengthDisplay":"13 Hours 38 Mins 18 Secs","moonriseLocal":"20:31","moonsetLocal":"09:41","rahuKala":{"name":"Rāhu Kāla","start":"15:00","end":"16:17","startHours":14.99275768193561,"endHours":16.287960036875113,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:49","end":"11:06","startHours":9.811948262177593,"endHours":11.107150617117096,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"13:42","startHours":12.402352972056601,"endHours":13.697555326996106,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.639254614852327,"endHours":9.98464190950286,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.653277670611752,"endHours":7.9295875063321795,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056965677406067,"endHours":12.747740266707135,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.839994373696446,"endHours":6.530768962997516,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:13","startHours":6.358075315672248,"endHours":7.221543552298584,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:49","startHours":14.129289445309274,"endHours":14.820064034610343,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.38316239181462,"endHours":17.783162391814617,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.583162391814618,"endHours":18.014896510127787,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.333162391814618,"endHours":19.083162391814618,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056965677406065,"endHours":24.747740266707137,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:31","startHours":7.221543552298584,"endHours":8.51674590723809,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:49","startHours":8.51674590723809,"endHours":9.811948262177593,"quality":"inauspicious"},{"name":"Chala","start":"09:49","end":"11:06","startHours":9.811948262177593,"endHours":11.107150617117096,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:24","startHours":11.107150617117096,"endHours":12.402352972056601,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"13:42","startHours":12.402352972056601,"endHours":13.697555326996106,"quality":"auspicious"},{"name":"Kāla","start":"13:42","end":"15:00","startHours":13.697555326996106,"endHours":14.99275768193561,"quality":"inauspicious"},{"name":"Śubha","start":"15:00","end":"16:17","startHours":14.99275768193561,"endHours":16.287960036875113,"quality":"auspicious"},{"name":"Roga","start":"16:17","end":"17:35","startHours":16.287960036875113,"endHours":17.583162391814618,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:35","end":"19:17","startHours":17.583162391814618,"endHours":19.287960036875113,"quality":"inauspicious"},{"name":"Śubha","start":"19:17","end":"21:00","startHours":19.287960036875113,"endHours":20.992757681935608,"quality":"auspicious"},{"name":"Roga","start":"21:00","end":"22:42","startHours":20.992757681935608,"endHours":22.697555326996106,"quality":"inauspicious"},{"name":"Udveg","start":"22:42","end":"00:24","startHours":22.697555326996106,"endHours":24.4023529720566,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"02:06","startHours":24.4023529720566,"endHours":26.107150617117096,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:49","startHours":26.107150617117096,"endHours":27.811948262177594,"quality":"auspicious"},{"name":"Amṛta","start":"03:49","end":"05:31","startHours":27.811948262177594,"endHours":29.51674590723809,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:13","startHours":29.51674590723809,"endHours":31.221543552298584,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.221543552298584,"endHours":8.221543552298584,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.221543552298584,"endHours":9.221543552298584,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.221543552298584,"endHours":10.221543552298584,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.221543552298584,"endHours":11.221543552298584,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.221543552298584,"endHours":12.221543552298584,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.221543552298584,"endHours":13.221543552298584,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.221543552298584,"endHours":14.221543552298584,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.221543552298584,"endHours":15.221543552298584,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.221543552298584,"endHours":16.221543552298584,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.221543552298584,"endHours":17.221543552298584,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.221543552298584,"endHours":18.221543552298584,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.221543552298584,"endHours":19.221543552298584,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.221543552298584,"endHours":20.221543552298584,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.221543552298584,"endHours":21.221543552298584,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.221543552298584,"endHours":22.221543552298584,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.221543552298584,"endHours":23.221543552298584,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.221543552298584,"endHours":24.221543552298584,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.221543552298584,"endHours":25.221543552298584,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.221543552298584,"endHours":26.221543552298584,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.221543552298584,"endHours":27.221543552298584,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.221543552298584,"endHours":28.221543552298584,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.221543552298584,"endHours":29.221543552298584,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.221543552298584,"endHours":30.221543552298584,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.221543552298584,"endHours":31.221543552298584,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","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":-22.99901919700746,"eotMinutes":-3.705178323396069,"ayanamsa":24.0346}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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":"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":"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 1, 2013 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 1, 2013 CE for Noida, Uttar Pradesh: Kṛṣṇa Caturthī, sūryodaya 07:13, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2013-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2013-01-01","sa":"https://sa.vidhyamitra.com/city/noida/2013-01-01","hi":"https://hi.vidhyamitra.com/city/noida/2013-01-01","x-default":"https://vidhyamitra.com/city/noida/2013-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:22:53.034Z","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":"2026-05-15T16:22:53.034Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:22:53.034Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}