{"id":"vidhyamitra:city-day:phoenix:1972-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1972-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-10-04","date_display":"October 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":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441594.770833,"kali_year":5074,"ahargana":1853129.2708,"sun":{"sidereal_longitude":166.7587,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":128.304,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":321.5453,"elapsed_within_tithi_degrees":9.5453},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.304,"elapsed_within_degrees":8.304},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.0626},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":1972,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441594.770833,"ahargana":1853129.2708,"kali_year":5074,"ayanamsa_lahiri":23.4724,"grahas":{"sun":{"sidereal_longitude":167.437682,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":129.486782,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-2.6439},"mars":{"sidereal_longitude":158.90058199999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":178.22558200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":247.96638199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":125.42288199999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":57.430882,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":272.2933,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.2933,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":1972,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441594.770833,"kali_year":5074,"ahargana":1853129.2708,"sun":{"sidereal_longitude":166.7587,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":128.304,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":321.5453,"elapsed_within_tithi_degrees":9.5453},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.304,"elapsed_within_degrees":8.304},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.0626},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.644,"elongation":38.455},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.644,"opposition_distance":141.545}},"eclipse_window_40days":[]},"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"sunriseLocal":"06:24","sunsetLocal":"18:09","solarNoonLocal":"12:16","dayLengthHours":11.752467755196832,"dayLengthDisplay":"11 Hours 45 Mins 09 Secs","nightLengthDisplay":"12 Hours 14 Mins 51 Secs","moonriseLocal":"03:14","moonsetLocal":"16:15","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:44","startHours":12.269982280205163,"endHours":13.739040749604769,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:20","startHours":7.8628068720063515,"endHours":9.331865341405955,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:48","end":"12:16","startHours":10.80092381080556,"endHours":12.269982280205163,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:32","startHours":9.135990878819342,"endHours":9.527739803992569,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:53","end":"07:12","startHours":6.883434559073282,"endHours":7.196833699211864,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:40","startHours":11.878233355031934,"endHours":12.661731205378391,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:37","startHours":4.826752701913836,"endHours":5.610250552260292,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:24","startHours":5.414376089673678,"endHours":6.3937484026067475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:01","startHours":14.228726906071302,"endHours":15.012224756417757,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.94621615780358,"endHours":18.34621615780358,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:38","startHours":18.14621615780358,"endHours":18.635902314270112,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.89621615780358,"endHours":19.64621615780358,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:40","startHours":23.878233355031934,"endHours":24.66173120537839,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:24","end":"07:52","startHours":6.3937484026067475,"endHours":7.8628068720063515,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:20","startHours":7.8628068720063515,"endHours":9.331865341405955,"quality":"auspicious"},{"name":"Kāla","start":"09:20","end":"10:48","startHours":9.331865341405955,"endHours":10.80092381080556,"quality":"inauspicious"},{"name":"Śubha","start":"10:48","end":"12:16","startHours":10.80092381080556,"endHours":12.269982280205163,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:44","startHours":12.269982280205163,"endHours":13.739040749604769,"quality":"inauspicious"},{"name":"Udveg","start":"13:44","end":"15:12","startHours":13.739040749604769,"endHours":15.208099219004371,"quality":"inauspicious"},{"name":"Chala","start":"15:12","end":"16:41","startHours":15.208099219004371,"endHours":16.677157688403977,"quality":"neutral"},{"name":"Labha","start":"16:41","end":"18:09","startHours":16.677157688403977,"endHours":18.14621615780358,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:09","end":"19:41","startHours":18.14621615780358,"endHours":19.677157688403973,"quality":"inauspicious"},{"name":"Chala","start":"19:41","end":"21:12","startHours":19.677157688403973,"endHours":21.20809921900437,"quality":"neutral"},{"name":"Labha","start":"21:12","end":"22:44","startHours":21.20809921900437,"endHours":22.73904074960477,"quality":"auspicious"},{"name":"Amṛta","start":"22:44","end":"00:16","startHours":22.73904074960477,"endHours":24.269982280205163,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:48","startHours":24.269982280205163,"endHours":25.800923810805557,"quality":"inauspicious"},{"name":"Śubha","start":"01:48","end":"03:20","startHours":25.800923810805557,"endHours":27.331865341405955,"quality":"auspicious"},{"name":"Roga","start":"03:20","end":"04:52","startHours":27.331865341405955,"endHours":28.862806872006352,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:24","startHours":28.862806872006352,"endHours":30.393748402606747,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.3937484026067475,"endHours":7.3937484026067475,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.3937484026067475,"endHours":8.393748402606747,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.393748402606747,"endHours":9.393748402606747,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.393748402606747,"endHours":10.393748402606747,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.393748402606747,"endHours":11.393748402606747,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.393748402606747,"endHours":12.393748402606747,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.393748402606747,"endHours":13.393748402606747,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.393748402606747,"endHours":14.393748402606747,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.393748402606747,"endHours":15.393748402606747,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.393748402606747,"endHours":16.393748402606747,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.393748402606747,"endHours":17.393748402606747,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.393748402606747,"endHours":18.393748402606747,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.393748402606747,"endHours":19.393748402606747,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.393748402606747,"endHours":20.393748402606747,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.393748402606747,"endHours":21.393748402606747,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.393748402606747,"endHours":22.393748402606747,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.393748402606747,"endHours":23.393748402606747,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.393748402606747,"endHours":24.393748402606747,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.393748402606747,"endHours":25.393748402606747,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.393748402606747,"endHours":26.393748402606747,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.393748402606747,"endHours":27.393748402606747,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.393748402606747,"endHours":28.393748402606747,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.393748402606747,"endHours":29.393748402606747,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.393748402606747,"endHours":30.393748402606747,"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.317202510574946,"eotMinutes":12.09706318769023,"ayanamsa":23.4724}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Dvādaśī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"festivals":[],"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":[]},"validity":{"eternal":false,"location_specific":"phoenix"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 4, 1972 CE · Phoenix, USA · Vidhyamitra","description":"October 4, 1972 CE for Phoenix, USA: Kṛṣṇa Dvādaśī, sūryodaya 06:24, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1972-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1972-10-04","sa":"https://sa.vidhyamitra.com/city/phoenix/1972-10-04","hi":"https://hi.vidhyamitra.com/city/phoenix/1972-10-04","x-default":"https://vidhyamitra.com/city/phoenix/1972-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T08:45:36.611Z","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":"2026-06-03T08:45:36.611Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T08:45:36.611Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}