{"id":"vidhyamitra:city-day:noida:1972-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/1972-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-01-04","date_display":"January 4, 1972 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":1972,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441320.770833,"kali_year":5073,"ahargana":1852855.2708,"sun":{"sidereal_longitude":259.1629,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":119.8021,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.6391,"elapsed_within_tithi_degrees":4.6391},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.8021,"elapsed_within_degrees":13.1354},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.965},"karana":{"half_tithi_index":36,"name":"Bava"},"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":1972,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441320.770833,"ahargana":1852855.2708,"kali_year":5073,"ayanamsa_lahiri":23.462,"grahas":{"sun":{"sidereal_longitude":259.3067510000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":118.73125099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-1.0106},"mars":{"sidereal_longitude":342.274651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":237.142151,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":240.29175099999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":291.462751,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":37.16955100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":286.8112,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":106.8112,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1972,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441320.770833,"kali_year":5073,"ahargana":1852855.2708,"sun":{"sidereal_longitude":259.1629,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":119.8021,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.6391,"elapsed_within_tithi_degrees":4.6391},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.8021,"elapsed_within_degrees":13.1354},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.965},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.011,"elongation":139.361},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.011,"opposition_distance":40.639}},"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":"07:14","sunsetLocal":"17:37","solarNoonLocal":"12:25","dayLengthHours":10.376768333519088,"dayLengthDisplay":"10 Hours 22 Mins 36 Secs","nightLengthDisplay":"13 Hours 37 Mins 24 Secs","moonriseLocal":"20:29","moonsetLocal":"09:37","rahuKala":{"name":"Rāhu Kāla","start":"15:01","end":"16:19","startHours":15.018523864468872,"endHours":16.31561990615876,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:08","startHours":9.830139697709328,"endHours":11.127235739399215,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"13:43","startHours":12.424331781089101,"endHours":13.721427822778987,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.657193558817344,"endHours":10.003085836601313,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.6683129615595185,"endHours":7.945026783786695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.078439503305132,"endHours":12.77022405887307,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.852378503193679,"endHours":6.544163058761617,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.3712169198696325,"endHours":7.2359476143295565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.15379317000895,"endHours":14.845577725576888,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.412715947848646,"endHours":17.812715947848645,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.612715947848645,"endHours":18.045081295078607,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.362715947848645,"endHours":19.112715947848645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.07843950330513,"endHours":24.770224058873072,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:32","startHours":7.2359476143295565,"endHours":8.533043656019442,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"09:50","startHours":8.533043656019442,"endHours":9.830139697709328,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:08","startHours":9.830139697709328,"endHours":11.127235739399215,"quality":"neutral"},{"name":"Labha","start":"11:08","end":"12:25","startHours":11.127235739399215,"endHours":12.424331781089101,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"13:43","startHours":12.424331781089101,"endHours":13.721427822778987,"quality":"auspicious"},{"name":"Kāla","start":"13:43","end":"15:01","startHours":13.721427822778987,"endHours":15.018523864468872,"quality":"inauspicious"},{"name":"Śubha","start":"15:01","end":"16:19","startHours":15.018523864468872,"endHours":16.31561990615876,"quality":"auspicious"},{"name":"Roga","start":"16:19","end":"17:37","startHours":16.31561990615876,"endHours":17.612715947848645,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:37","end":"19:19","startHours":17.612715947848645,"endHours":19.31561990615876,"quality":"inauspicious"},{"name":"Śubha","start":"19:19","end":"21:01","startHours":19.31561990615876,"endHours":21.018523864468875,"quality":"auspicious"},{"name":"Roga","start":"21:01","end":"22:43","startHours":21.018523864468875,"endHours":22.72142782277899,"quality":"inauspicious"},{"name":"Udveg","start":"22:43","end":"00:25","startHours":22.72142782277899,"endHours":24.4243317810891,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"02:08","startHours":24.4243317810891,"endHours":26.127235739399215,"quality":"neutral"},{"name":"Labha","start":"02:08","end":"03:50","startHours":26.127235739399215,"endHours":27.830139697709328,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:32","startHours":27.830139697709328,"endHours":29.533043656019444,"quality":"auspicious"},{"name":"Kāla","start":"05:32","end":"07:14","startHours":29.533043656019444,"endHours":31.235947614329557,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.2359476143295565,"endHours":8.235947614329557,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.235947614329557,"endHours":9.235947614329557,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.235947614329557,"endHours":10.235947614329557,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.235947614329557,"endHours":11.235947614329557,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.235947614329557,"endHours":12.235947614329557,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.235947614329557,"endHours":13.235947614329557,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.235947614329557,"endHours":14.235947614329557,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.235947614329557,"endHours":15.235947614329557,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.235947614329557,"endHours":16.235947614329557,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.235947614329557,"endHours":17.235947614329557,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.235947614329557,"endHours":18.235947614329557,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.235947614329557,"endHours":19.235947614329557,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.235947614329557,"endHours":20.235947614329557,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.235947614329557,"endHours":21.235947614329557,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.235947614329557,"endHours":22.235947614329557,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.235947614329557,"endHours":23.235947614329557,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.235947614329557,"endHours":24.235947614329557,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.235947614329557,"endHours":25.235947614329557,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.235947614329557,"endHours":26.235947614329557,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.235947614329557,"endHours":27.235947614329557,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.235947614329557,"endHours":28.235947614329557,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.235947614329557,"endHours":29.235947614329557,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.235947614329557,"endHours":30.235947614329557,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.235947614329557,"endHours":31.235947614329557,"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"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.823680001751274,"eotMinutes":-5.02390686534617,"ayanamsa":23.462}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"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":"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 4, 1972 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 4, 1972 CE for Noida, Uttar Pradesh: Kṛṣṇa Caturthī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/1972-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/1972-01-04","sa":"https://sa.vidhyamitra.com/city/noida/1972-01-04","hi":"https://hi.vidhyamitra.com/city/noida/1972-01-04","x-default":"https://vidhyamitra.com/city/noida/1972-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:08:54.194Z","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":"2026-06-03T00:08:54.194Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:08:54.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}