{"id":"vidhyamitra:day:2013-04-30:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2013-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-04-30","date_display":"April 30, 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":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456412.770833,"kali_year":5115,"ahargana":1867947.2708,"sun":{"sidereal_longitude":15.8643,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":250.9716,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.1073,"elapsed_within_tithi_degrees":7.1073},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.9716,"elapsed_within_degrees":10.9716},"yoga":{"number":21,"name":"Siddha","sum_longitude":266.836},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":4,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456412.770833,"ahargana":1867947.2708,"kali_year":5115,"ayanamsa_lahiri":24.0392,"grahas":{"sun":{"sidereal_longitude":15.829226000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":253.67342600000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":3.1134},"mars":{"sidereal_longitude":12.91062599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":2.5052259999999933,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":52.79472599999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":24.00512600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":193.804126,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":207.1644,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.1644,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2013,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456412.770833,"kali_year":5115,"ahargana":1867947.2708,"sun":{"sidereal_longitude":15.8643,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":250.9716,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.1073,"elapsed_within_tithi_degrees":7.1073},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.9716,"elapsed_within_degrees":10.9716},"yoga":{"number":21,"name":"Siddha","sum_longitude":266.836},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.113,"elongation":124.893},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.113,"opposition_distance":55.107}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-1.09,"opposition_distance":1.352},{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":-0.055,"elongation":1.837}]},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Pañcamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"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":"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,"valid_from":"2013-04-30T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga April 30, 2013 CE · Vidhyamitra","description":"Vedic pañchāṅga for April 30, 2013 CE: Kṛṣṇa Pañcamī · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2013-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2013-04-30","sa":"https://sa.vidhyamitra.com/day/2013-04-30","hi":"https://hi.vidhyamitra.com/day/2013-04-30","x-default":"https://vidhyamitra.com/day/2013-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:16:07.748Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:16:07.748Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}