{"id":"vidhyamitra:day:2001-05-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2001-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-05-13","date_display":"May 13, 2001 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":2001,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452042.770833,"kali_year":5103,"ahargana":1863577.2708,"sun":{"sidereal_longitude":28.4807,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":273.9755,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.4948,"elapsed_within_tithi_degrees":5.4948},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.9755,"elapsed_within_degrees":7.3088},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.4562},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2001,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452042.770833,"ahargana":1863577.2708,"kali_year":5103,"ayanamsa_lahiri":23.872,"grahas":{"sun":{"sidereal_longitude":28.48889200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":272.49849199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.1838},"mars":{"sidereal_longitude":245.09099199999991,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":48.11089199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":52.18539199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":346.043192,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":38.82679200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.708,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.708,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2001,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452042.770833,"kali_year":5103,"ahargana":1863577.2708,"sun":{"sidereal_longitude":28.4807,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":273.9755,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.4948,"elapsed_within_tithi_degrees":5.4948},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.9755,"elapsed_within_degrees":7.3088},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.4562},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.184,"elongation":114.505},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.184,"opposition_distance":65.495}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ṣaṣṭhī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2001-05-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 13, 2001 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 13, 2001 CE: Kṛṣṇa Ṣaṣṭhī · Uttara Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2001-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2001-05-13","sa":"https://sa.vidhyamitra.com/day/2001-05-13","hi":"https://hi.vidhyamitra.com/day/2001-05-13","x-default":"https://vidhyamitra.com/day/2001-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T06:23:56.955Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T06:23:56.955Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}