{"id":"vidhyamitra:day:1965-05-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1965-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1965-05-13","date_display":"May 13, 1965 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":1965,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438893.770833,"kali_year":5067,"ahargana":1850428.2708,"sun":{"sidereal_longitude":28.7831,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":180.0414,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.2583,"elapsed_within_tithi_degrees":7.2583},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.0414,"elapsed_within_degrees":6.7081},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.8245},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1965,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438893.770833,"ahargana":1850428.2708,"kali_year":5067,"ayanamsa_lahiri":23.3691,"grahas":{"sun":{"sidereal_longitude":28.708880000000022,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":179.56068000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":3.7013},"mars":{"sidereal_longitude":138.79958,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":3.6396799999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":41.986080000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":37.29757999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":322.82338000000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":55.4053,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.4053,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":1965,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438893.770833,"kali_year":5067,"ahargana":1850428.2708,"sun":{"sidereal_longitude":28.7831,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":180.0414,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.2583,"elapsed_within_tithi_degrees":7.2583},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.0414,"elapsed_within_degrees":6.7081},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.8245},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.701,"elongation":151.258},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.701,"opposition_distance":28.742}},"eclipse_window_40days":[{"offset_days":18,"type":"solar","occurs":true,"moon_latitude":-0.599,"elongation":0.817}]},"calendars":{"vikram_samvat":2022,"vikram_samvatsara":"Kālayukta","saka_samvat":1887,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1372,"malayalam_era":1141,"nanakshahi_year":496,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2022 Kālayukta · Śaka 1887 Viśvāvasu"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1965-05-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 13, 1965 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 13, 1965 CE: Śukla Trayodaśī · Citrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1965-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1965-05-13","sa":"https://sa.vidhyamitra.com/day/1965-05-13","hi":"https://hi.vidhyamitra.com/day/1965-05-13","x-default":"https://vidhyamitra.com/day/1965-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:53:23.132Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:53:23.132Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}