{"id":"vidhyamitra:city-day:phoenix:2162-03-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2162-03-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-03-15","date_display":"March 15, 2162 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":2162,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510787.770833,"kali_year":5263,"ahargana":1922322.2708,"sun":{"sidereal_longitude":328.1764,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":319.4032,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":351.2269,"elapsed_within_tithi_degrees":3.2269},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.4032,"elapsed_within_degrees":12.7366},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.5796},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2162,"month":3,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510787.770833,"ahargana":1922322.2708,"kali_year":5263,"ayanamsa_lahiri":26.1188,"grahas":{"sun":{"sidereal_longitude":328.377701,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":318.74160099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":4.1327},"mars":{"sidereal_longitude":29.811000999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":337.094801,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":256.20980099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":352.197901,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":216.28900099999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.1152,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":26.1152,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2162,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510787.770833,"kali_year":5263,"ahargana":1922322.2708,"sun":{"sidereal_longitude":328.1764,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":319.4032,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":351.2269,"elapsed_within_tithi_degrees":3.2269},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.4032,"elapsed_within_degrees":12.7366},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.5796},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.133,"elongation":8.773},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.133,"opposition_distance":171.227}},"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":"06:40","sunsetLocal":"18:36","solarNoonLocal":"12:38","dayLengthHours":11.940562667881693,"dayLengthDisplay":"11 Hours 56 Mins 26 Secs","nightLengthDisplay":"12 Hours 03 Mins 34 Secs","moonriseLocal":"06:12","moonsetLocal":"17:46","rahuKala":{"name":"Rāhu Kāla","start":"08:09","end":"09:39","startHours":8.154735433098306,"endHours":9.647305766583518,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:38","startHours":11.13987610006873,"endHours":12.632446433553941,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:37","startHours":14.125016767039153,"endHours":15.617587100524364,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:51","startHours":9.44829638878549,"endHours":9.846315144381546,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:10","end":"07:29","startHours":7.159688544108165,"endHours":7.47810354858501,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"13:02","startHours":12.234427677957884,"endHours":13.030465189149998,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:52","startHours":5.070090077228869,"endHours":5.866127588420982,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:40","end":"06:40","startHours":5.667118210622953,"endHours":6.6621650996130946,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:25","startHours":14.622540211534222,"endHours":15.418577722726335,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.40272776749479,"endHours":18.802727767494787,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:06","startHours":18.602727767494788,"endHours":19.100251211989857,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.352727767494788,"endHours":20.102727767494788,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"01:02","startHours":24.234427677957886,"endHours":25.030465189149997,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:40","end":"08:09","startHours":6.6621650996130946,"endHours":8.154735433098306,"quality":"auspicious"},{"name":"Kāla","start":"08:09","end":"09:39","startHours":8.154735433098306,"endHours":9.647305766583518,"quality":"inauspicious"},{"name":"Śubha","start":"09:39","end":"11:08","startHours":9.647305766583518,"endHours":11.13987610006873,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:38","startHours":11.13987610006873,"endHours":12.632446433553941,"quality":"inauspicious"},{"name":"Udveg","start":"12:38","end":"14:08","startHours":12.632446433553941,"endHours":14.125016767039153,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:37","startHours":14.125016767039153,"endHours":15.617587100524364,"quality":"neutral"},{"name":"Labha","start":"15:37","end":"17:07","startHours":15.617587100524364,"endHours":17.110157434009576,"quality":"auspicious"},{"name":"Amṛta","start":"17:07","end":"18:36","startHours":17.110157434009576,"endHours":18.602727767494788,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:36","end":"20:07","startHours":18.602727767494788,"endHours":20.110157434009576,"quality":"neutral"},{"name":"Labha","start":"20:07","end":"21:37","startHours":20.110157434009576,"endHours":21.617587100524364,"quality":"auspicious"},{"name":"Amṛta","start":"21:37","end":"23:08","startHours":21.617587100524364,"endHours":23.125016767039153,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:38","startHours":23.125016767039153,"endHours":24.63244643355394,"quality":"inauspicious"},{"name":"Śubha","start":"00:38","end":"02:08","startHours":24.63244643355394,"endHours":26.13987610006873,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:39","startHours":26.13987610006873,"endHours":27.647305766583518,"quality":"inauspicious"},{"name":"Udveg","start":"03:39","end":"05:09","startHours":27.647305766583518,"endHours":29.154735433098306,"quality":"inauspicious"},{"name":"Chala","start":"05:09","end":"06:40","startHours":29.154735433098306,"endHours":30.662165099613095,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:40","end":"07:40","startHours":6.6621650996130946,"endHours":7.6621650996130946,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:40","end":"08:40","startHours":7.6621650996130946,"endHours":8.662165099613095,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:40","end":"09:40","startHours":8.662165099613095,"endHours":9.662165099613095,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:40","end":"10:40","startHours":9.662165099613095,"endHours":10.662165099613095,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:40","end":"11:40","startHours":10.662165099613095,"endHours":11.662165099613095,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:40","end":"12:40","startHours":11.662165099613095,"endHours":12.662165099613095,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:40","end":"13:40","startHours":12.662165099613095,"endHours":13.662165099613095,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:40","end":"14:40","startHours":13.662165099613095,"endHours":14.662165099613095,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:40","end":"15:40","startHours":14.662165099613095,"endHours":15.662165099613095,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:40","end":"16:40","startHours":15.662165099613095,"endHours":16.662165099613095,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:40","end":"17:40","startHours":16.662165099613095,"endHours":17.662165099613095,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:40","end":"18:40","startHours":17.662165099613095,"endHours":18.662165099613095,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:40","end":"19:40","startHours":18.662165099613095,"endHours":19.662165099613095,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:40","end":"20:40","startHours":19.662165099613095,"endHours":20.662165099613095,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:40","end":"21:40","startHours":20.662165099613095,"endHours":21.662165099613095,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:40","end":"22:40","startHours":21.662165099613095,"endHours":22.662165099613095,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:40","end":"23:40","startHours":22.662165099613095,"endHours":23.662165099613095,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:40","end":"00:40","startHours":23.662165099613095,"endHours":24.662165099613095,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:40","end":"01:40","startHours":24.662165099613095,"endHours":25.662165099613095,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:40","end":"02:40","startHours":25.662165099613095,"endHours":26.662165099613095,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:40","end":"03:40","startHours":26.662165099613095,"endHours":27.662165099613095,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:40","end":"04:40","startHours":27.662165099613095,"endHours":28.662165099613095,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:40","end":"05:40","startHours":28.662165099613095,"endHours":29.662165099613095,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:40","end":"06:40","startHours":29.662165099613095,"endHours":30.662165099613095,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.1860861409027006,"eotMinutes":-9.650786013236482,"ayanamsa":26.1188}},"calendars":{"vikram_samvat":2219,"vikram_samvatsara":"Yuva","saka_samvat":2084,"saka_samvatsara":"Dundubhi","bengali_samvat":1569,"malayalam_era":1338,"nanakshahi_year":693,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Amāvasyā · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"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 March 15, 2162 CE · Phoenix, USA · Vidhyamitra","description":"March 15, 2162 CE for Phoenix, USA: Kṛṣṇa Amāvasyā, sūryodaya 06:40, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2162-03-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2162-03-15","sa":"https://sa.vidhyamitra.com/city/phoenix/2162-03-15","hi":"https://hi.vidhyamitra.com/city/phoenix/2162-03-15","x-default":"https://vidhyamitra.com/city/phoenix/2162-03-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:10:31.420Z","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":"2026-06-02T20:10:31.420Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:10:31.420Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}